It's the question of whose words might we be second-guessing. Are they the writer's words, or Jesus' words? This isn't a discussion about faith, but that the earliest known accounts of Jesus don't seem to appear until about 60 C.E. Bringing the question back to the original post, were there no literate disciples among Jesus' followers to write down what he said at the time of his life?
Much of modern history is documented as it happens. What we have with the gospels is a different form of journalism. They are narratives that vary, one from the other, and written decades after the supposed event.
Martyrdom exists today, in cultures by people who have never witnessed a resurrected Mohammed, let's say, or some other prophet. The thought of the bravery of the early Christians to die for their convictions is as powerful today as it was to Constantine, who probably witnessed such martyrdoms and was impressed by their resolve. Yet, by 300 C.E., though many were willing to die for their belief, it is unlikely that all those that were martyred actually experienced a resurrection vision for themselves.
Paul had a powerful epiphany, which seemed true unto himself. He was obviously good at convincing others of the reality of his personal experience, and the reality of someone he had never actually known.
I'm not questioning that modern followers have equally strong convictions. I'm simply looking at the provenance of the record. To reiterate, I think the original poster was very direct about asking why there was no written record from the time of Christ. That gospels and epistles were plentiful by the end of the First Century is without dispute. That person pointed out--justly so, I think--that provenance goes no further back than about 60 C.E.
Why not?
The Qumran Community were still writing Dead Sea Scrolls at that time. We have Dead Sea Scrolls written at the time of Jesus! Not just scrolls, but inkwells with dried ink in them. Artifacts from 0-to-32 C.E. abound in the Judean Desert. They don't mention Jesus of Nazareth, however. Maybe he visited Qumran, maybe not, who knows? The Qumran community wasn't that far from Jerusalem, so it is conceivable Jesus might have visited them. The point is, people were writing during that period. Everyone, that is, but Jesus and his disciples. Maybe there are some primary sources that simply have not been discovered? Maybe there are primary sources that have been discovered, but are in private hands, and are being deliberately silenced, for some reason.
(see:
The Jesus Papers, Exposing the Greatest Coverup in History)
Flavius Josephus, a contemporary, was also writing during that time. Even though his famous lines in reference to Jesus have since been discredited as very late European forgeries, his other accounts of the 2nd Jewish revolt stand, as does his description of the three sects of Judaism--Pharissee, Saddccee, and Essene.
Ok, well, whether that is so or not falls out of the scope of this thread. When I quoted Prof. Ehrman, I was doing so because he is a respected scholar in the field, and also happens to be a skeptic. I pulled his quote from an argument against the resurrection as history, but the statement I used directly applies to this conversation:
The earliest gospels were narratives of uncertain origin written beginning in the third decade after the death of Jesus.