Reason is logic: Logos; basic principals which define the world around us. Logic, however, doesn't explain the "why" in anything, only "how".
Reason can bridge the gap to faith quite easily, in that where logic fails to give a clear answer, faith does. Faith is simply trust. For the longest time, scientists "trusted" that the evidence they had pointed towards the existence of black holes.
To illustrate, LOGICALLY explain to me why it is possible that you are cognitively aware of what is going on around you right now. You might be able to explain how in purely materialistic terms, but not why.
In fact, the whole idea of cognitive awareness, or sentience, is predicated on the idea that you are observing the very fabric of reality that is around you. You can't explain it, but you can at the very least, trust that you exist.
Everything that exists must have a reason. Everything that has a reason for existing, must also have a purpose. Therefore, you exist because you have a purpose.
"I think, therefore I am." - René Descartes.
"And God said unto Moses, I Am That I Am: and he said, Thus shalt thou say unto the children of Israel, I Am hath sent me unto you." - Exodus chapter 3, verse 14.
God thinks, therefore God is...
But it takes faith (trust) to believe that another sentient being exists. I don't have to believe you exist, but you sure have to believe that you exist. Likewise, it doesn't matter who does or doesn't believe that God exists. He exists regardless of what anyone thinks.
God bless you.