So Jesus hung His Church out to dry, basically?
History disagrees with you.
The Letter of Clement to James
“Be it known to you, my lord, that Simon [Peter], who, for the sake of the true faith, and the most sure foundation of his doctrine, was set apart to be the foundation of the Church, and for this end was by Jesus himself, with his truthful mouth, named Peter” (Letter of Clement to James 2 [A.D. 221]).
Origen
“Look at [Peter], the great foundation of the Church, that most solid of rocks, upon whom Christ built the Church [Matt. 16:18]. And what does our Lord say to him? ‘Oh you of little faith,’ he says, ‘why do you doubt?’ [Matt. 14:31]” (Homilies on Exodus 5:4 [A.D. 248]).
Cyprian of Carthage
“The Lord says to Peter: ‘I say to you,’ he says, ‘that you are Peter, and upon this rock I will build my Church, and the gates of hell will not overcome it. And to you I will give the keys of the kingdom of heaven . . . ’ [Matt. 16:18–19]. On him [Peter] he builds the Church, and to him he gives the command to feed the sheep [John 21:17], and although he assigns a like power to all the apostles, yet he founded a single chair [cathedra], and he established by his own authority a source and an intrinsic reason for that unity. Indeed, the others were that also which Peter was *, but a primacy is given to Peter, whereby it is made clear that there is but one Church and one chair. . . . If someone does not hold fast to this unity of Peter, can he imagine that he still holds the faith? If he [should] desert the chair of Peter upon whom the Church was built, can he still be confident that he is in the Church?” (The Unity of the Catholic Church 4; 1st edition [A.D. 251]).
“There is one God and one Christ, and one Church, and one chair founded on Peter by the word of the Lord. It is not possible to set up another altar or for there to be another priesthood besides that one altar and that one priesthood. Whoever has gathered elsewhere is scattering” (Letters 43[40]:5 [A.D. 253]).
Augustine
“If the very order of episcopal succession is to be considered, how much more surely, truly, and safely do we number them [the bishops of Rome] from Peter himself, to whom, as to one representing the whole Church, the Lord said, ‘Upon this rock I will build my Church, and the gates of hell shall not conquer it.’ Peter was succeeded by Linus, Linus by Clement. … In this order of succession a Donatist bishop is not to be found” (Letters 53:1:2 [A.D. 412]).*
Those dates all seem mighty late to me. Think of how much modern opinion has evolved in 200 years. I am not saying your conclusion is wrong, but your evidence doesn’t prove your point without some explanation. How do you cover the 200 year gap? You have to treat tradition as something to be proved, not something that is assumed. I would start with scripture and show first that scripture does not endorse sola scriptura, and second, that it denies it. Remember, the inspiration of 66 books is common ground. That is where you start.