There is an interesting book called “Evidence Demands a Verdict”. Written by some agnostic/atheist (or something) lawyer that was out to prove the resurrection a myth. After getting into it he realized that if the idea was on trial, it would be found to be true. He became a Christian (and then wrote the book).
And to the disciples (I think He appeared to something like 500 of them total?) they did not have to rely on faith to believe the resurrection. “You have seen and believe, but how much greater will those that believe without seeing” or however that verse goes when he speaks to Thomas.
Yes, I have heard of that book but have not read it. I did read a similar book by Les Strobel "The Case for Christ." He presents a lot of convincing evidence but, in my opinion, he didn't adequately represent the skeptics point of view. Still, it was good read and expanded my knowledge.
Historical proof is only one aspect of Reason though. Lewis and Chesterton don't dwell much on historical evidence but rather look to the complexities of mankind i.e. morality, culture, psychology, and even Reason itself, and take it from there, first to establish that something other than the material universe exists and secondly that Mankind is somehow out of sync, or at odds, with that Other.