I think Noah's Ark is maybe feasible, only if you let God pile on big miracle on top of big miracle. Of course, anything to do with the concept of a "young earth" runs counter to the worldly evidence, and fitting the flood and the major near extinction event into an "old earth" scenario is barely better.
Even if you can accept the mass of miracles, for God to execute a re-creation event in the manner of the "great flood" seem to be far unnecessarily cumbersome at best.
One might look upon the "great flood" as some sort of grand metaphor - Call it the "great purge". The ark would be the "mysterious refuge" for the select few who were to survive.
Still, no worldly evidence for, and a lot of worldly evidence against.
Moose