The only thing you are going to find that isn't "Christian media" is going to be things that, rather than telling the truth, simply attack and slander Jesus like the Talmud. Even the enemies of Christ mention Him. There were also dozens of apocryphal works that claimed to be based on the life of Christ, although their claims were false. But there are plenty of other sources that are pro-Christian and so I guess, would be "disqualified" in your eyes as Christian media, even though that doesn't make sense. If Jesus Christ lived a sinless life, then anyone telling the truth about this account would have only positive things to say. It makes little sense to dismiss all the truthful sources as "Christian media." But like I said, there are also anti-Christian media, so that kind of disproves your idea anyway.
Sejanus, a man who died in AD 31, even caused the proposed deification of Christ to be rejected by the Roman Senate despite its recommendation by Emperor Tiberius, according to Tertullian's Apologeticum, chapter 5 and 21. But again, nothing is better or a replacement to just believing the Bible and the word of God. Because creation itself, as we see, testifies to the Lord's eternal power and Godhead. Psalm 19 says, "The heavens declare the glory of God; and the firmament sheweth his handywork."
Scripture, on which the Bible is based, is the record that God gave of his Son, as the New Testament calls it. If a man rejects that, and the witness of God, nothing else is really going to do anything to convince or change that person's mind.
Like Christ said in John 5,
"For had ye believed Moses, ye would have believed me: for he wrote of me.
But if ye believe not his writings, how shall ye believe my words?"