Why is Noah a particular problem?
The Bible is full of claims of miracles. Noah is not a particularly hard one to wrap your mind around. There are others--Joshua commanding the sun to stand still, for instance. This is one that bothers a lot of literally-minded--but I've heard more outlandish claims from PhDs in physics. Cats and boxes of bouncing light...?
How about that turning water into wine? Think of the problems, what vintage, what varietal? And the account in John insists that the wine was the best--
Either God is omnipotent or He's not. Either he commands Time or He doesn't. If He is the master of time and space and matter, he can cram a hundread thousand species in a rowboat if He pleases.
Noah is not the problem of faith. The problem of faith is a pediatric oncology ward--there's where you'll find your challenges.
Faith is not my problem. Right now my computer is. Goodnight.