Water levels were pretty low when I was there, I had no difficulty walking the floodplain, although there were certainly muddy spots and I had to cross a slough on a fallen log at one point. In many of the areas I saw, the water would have to rise at least 10 feet to inundate the forest floor (which I have no doubt it does, particularly in the winter). The refuge roads are well-maintained and many areas are penetrated by them. ATV trails are everywhere. It is clear that this refuge has been heavily utilized by hunters and fishermen for many years. The refuge caters to them, making habitat modifications to help waterfowl and enhance fishing. If, as I believe, there are ivory-bills breeding here, I think it makes the case that the birds can co-exist with such activities, provided there is a large, continuous, mature forest for them to stretch their wings in.
And yes, there are cottonmouths.