“The FACT of Peter founding the Church of Antioch is well-documented in the historical record, including records from the first century AD.”
Gee, I see opinion but no historical facts. I gave you accepted history by one who was a contemporary of the founders, “(Acts 11:19-26) “men of Cyprus and Cyrene”, and Barnabas and Saul, but I don’t see Peter mentioned”.
Once again, where do you find Peter founding the church at Antioch?
Eusebius, History of the Church, III, 36
In the writings of the Church Fathers (which are historical documents, and well validated).
"Eusebius--The Apostle Peter, after he has established the Church in Antioch, is sent to Rome, where he remains bishop of that city, preaching the Gospel for twenty-five years (The Chronicle, Ad An. Dom. 42 [A.D. 303])."
From here:
http://www.staycatholic.com/ecf_peter's_presence_in_rome.htm
Which also has a number of quotes from other early writers about Peter being in Rome.
I also refer you to this link:
http://www.saintpetersbasilica.org/Necropolis/JW/TheBonesofStPeter-9.htm
which covers VERY recent archaeological studies providing yet more evidence of Peter's presence in Rome (possibly including his actual bones).