There is plenty of historical evidence for the existence of Jesus. Evidence for the Holy Trinity however is kinda lacking.
IMO discounting God is tough because God can be defined in many ways. Food for thought is 'what came before the Big Bang'? The Vatican defines this period as the realm of God...........everything after is Science's territory apparently. Also, as all of the laws of nature go out of the window under extreme circumstances (e.g. singularities)......singularities etc themselves are supernatural (never mind how the Big Bang singularity came about).
I
think too many people are too quick to discount the supernatural.......as somebody else said, our senses are limited so it is conceivable we miss a lot.
Sorry about rambling

Just spilling thoughts out via my keyboard..........