Tertullian (160/165-220/225) is a key witnesses against sola scriptura being a practice sanctioned by the apostles and the early Christian faith. In a work entitled, "The Prescription Against the Heretics," one of his works against Marcion and his followers, shows that Tertullian did contemplate whether the Bible should be the final authority for the believer, and he explicitly rejected such a claim repeatedly!
All the following quotes comes from the translation of the work by Rev. Peter Holmes as found in volume 3 of the 10-volume Ante-Nicene Fathers set. An online version can be found here.
As for us, although we must still seek, and that always, yet where ought our search to be made? Amongst the heretics, where all things are foreign and opposed to our own verity, and to whom we are forbidden to draw near? . . . No man gets instruction from that which tends to destruction. No man receives illumination from a quarter where all is darkness. Let our ‘seeking,’ therefore be in that which is our own, and from those who are our own: and concerning that which is our own—that, and only that, which can become an object of inquiry without impairing the rule of faith. (TPAH, 12)
‘Thy faith, He says, ‘hath saved thee’ not observe your skill in the Scriptures. Now, faith has been deposited in the rule; it has a law, and (in the observance thereof) salvation. Skill, however, consists in curious art, having for its glory simply the readiness that comes from knack. Let such curious art give place to faith; let such glory yield to salvation. At any rate, let them either relinquish their nosiness, or else be quiet. To know nothing in opposition to the rule (of faith), is to know all things. (TPAH, 14)
We are therefore come to (the gift of) our position; for at this point we were aiming, and for this we were preparing in the preamble of our address (which we have just completed)—so that we may now join issue on the contention to which our adversaries challenge us. They put forward the Scriptures, and by this insolence of theirs they at once influence some. In the encounter itself, however, they weary the strong, they catch the weak, and dismiss waverers with a doubt. Accordingly, we oppose to them this step above all others, of not admitting them to any discussion of the Scriptures.. If in these lie their resources, before they can use them, it ought to be clearly seen to whom belongs the possession of the Scriptures, that none may be admitted to the use thereof who has no title at all to the privilege. (TPAH, 15)
Now this heresy of yours does not receive certain Scriptures; and whichever of them it does receive, it perverts by means of additions and diminutions, for the accomplishment of it own purpose; and such as it does receive, it receives not in their entirety; but even when it does receive any up to a certain point as entire, it nevertheless perverts even these by the contrivance of diverse interpretations. Truth is just as much opposed by an adulteration of its meaning as it is by a corruption of its text. Their vain presumptions must needs refuse to acknowledge the (writings) whereby they are refuted. They rely on those which they have falsely put together, and which they have selected, because of their ambiguity. Though most skilled in the Scriptures, you will make no progress, when everything which you maintain is denied on the other side, and whatever you deny is (by them) maintained. As for yourself, indeed, you will lose nothing but your breath, and gain nothing but vexation from their blasphemy. (TPAH, 17)
Immediately, therefore, so did the apostles, whom this designation indicates as ‘the sent.’ Having, on the authority of a prophecy, which occurs in a psalm of David, chosen Matthias by lot as the twelfth, into the place of Judas, they obtained the promised power of the Holy Ghost for the gift of miracles and of utterance; and after first bearing witness to the faith in Jesus Christ throughout Judaea, and founding churches (there), they next went forth into the world and preached the same doctrine of the same faith to the nations. They turn in like manner rounded churches in every city, from which all other churches, one after another, derived the tradition of the faith, and the seeds of doctrine, and are every day deriving them, that they may become churches. Indeed, it is on this account only that they will be able to deem themselves apostolic, as being the offspring of apostolic churches. Every sort of thing must necessarily revert to its original for its classification. Therefore the churches, although they are so many and so great comprise but the one primitive church, (rounded) by the apostles, from which they all (spring). In this way all are primitive, and all are apostolic, whilst they are all proved to be one, in (unbroken) unity, y their peaceful communion, and title of brotherhood, and bond of hospitality—privileges which no other rule directs them than the one tradition of the selfsame mystery. (TPAH, 20)
Not so, for in all cases truth precedes its copy, the likeness succeeds the reality. Absurd enough, however, it is, that heresy should be deemed to have preceded its own prior doctrine, even on this account, because it is that (doctrine) itself which foretold that there should be heresies against which men would have to guard! To a church which possessed this doctrine, it was written—yea, the doctrine itself writes to its own church—‘Though an angel from heaven preach any other gospel than that which any other gospel than that which we have preached, let him be accursed.’ (TPAH, 29)
Since this is the case, in order that the truth may be adjudged to belong to us, “as many as walk according to the rule,” which the church has handed down from the apostles, the apostles from Christ, and Christ from God, the reason of our position is clear, when it determines that heretics ought not to be allowed to challenge an appeal to the Scriptures, since we, without the Scriptures, prove that they have nothing to do with the Scriptures. For as they are heretics, they cannot be true Christians, because it is not from Christ that they get that which they pursue of their own mere choice, and from the pursuit incur and admit the name of heretics. Thus, not being Christians, they have acquired no right to the Christian Scriptures; and it may be very fairly said to them, “Who are you? When and whence did you come? As you are none of mine, what have you to do with that which is mine? Indeed, Marcion, by what right do you hew my wood? By whose permission, Valentinus, are you diverting the streams of my fountain? By what power, Apelles, are you removing my landmarks? This is my property. Why are you, the rest, sowing and feeding here at your own pleasure? This (I say) is my property. I have long possessed it; I possessed it before you. I hold sure title-deeds from the original owners themselves, to whom the estate belonged. I am the heir of the apostles. Just as they carefully prepared their will and testament, and committed it to a trust, and adjured (the trustees to be faithful to their charge), even so do I hold it. As for you, they have, it is certain, always held you as disinherited, and rejected you as strangers—as enemies. But on what ground are heretics strangers and enemies to the apostles, if it be not from the difference of their teaching, which each individual of his own mere will has either advanced or received in opposition to the apostles?” (TPAH, 37)
But what shall I say concerning the ministry of the word, since they make it their business not to convert the heathen, but to subvert our people? This is rather the glory which they catch at, to compass the fall of those who stand, not the raising of those who are down. Accordingly, since the very work which they purpose to themselves comes not from the building up of their own society, but from the demolition of the truth, they undermine our edifices, that they may erect their own. Only deprive them of the law of Moses, and the prophets, and the divinity of the Creator, and they have not another objection to talk about. The consequence is, that they more easily accomplish the ruin of standing houses than the erection of fallen ruins. It is only when they have such objects in view that they show themselves humble and bland and respectful. Otherwise they know no respect even for their own leaders. Hence it is [supposed] that schisms seldom happen among heretics, because, even when they exist, they are not obvious.1 Their very unity, however, is schism. I am greatly in error if they do not amongst themselves swerve even from their own regulations, forasmuch as every man, just as it suits his own temper, modifies the traditions he has received after the same fashion as the man who handed them down did, when he moulded them according to his own will. The progress of the matter is an acknowledgment at once of its character and of the manner of its birth. That was allowable to the Valentinians which had been allowed to Valentinus; that was also fair for the Marcionites which had been done by Marcion—even to innovate on the faith, as was agreeable to their own pleasure. In short, all heresies, when thoroughly looked into, are detected harbouring dissent in many particulars even from their own founders. The majority of them have not even churches. Motherless, houseless, creedless, outcasts, they wander about in their own essential worthlessness. (TPAH, 42)