Oh, so you claim to be surprised that I couldn't give you the sort of evidence of the existence of God that you could easily comprehend? Sorry, but no one is going to be able to condense the reality of God into the insufficient bottle of human thought and reason.
It is faith that allows us to approach God. That is why Jesus tells those who have experienced miraculous healing in His presence that "Your faith has made you well."
I realize that you are afraid of faith because I was once just like you in this area. You don't want a God that requires faith to build an understanding of Him, you want belief in His existence to be a foregone conclusion so that turning to God would be no different that turning to any other physical tool.
Faith is nothing to be feared or hated. It enables us to truly understand the image of God that is within all men.