Potatoes may indeed rot in cold, wet ground, but imagine my surprise this spring when a few "volunteer" potatoes showed up in last years potatoe row! Obviously I hadn't quite gotten them all.
My suggestion would be for you to try it out and see what happens!
I have: a) the worlds worst draining soil - at least 90% clay (proven by the fact that I can kill with the dried clods laying about) despite MASSIVE amounts of green manures. compost, regular ol' manure, rye grass (you get the picture) b) zone 4b-5a (is there such a thing? right on the border, as it were)
On the other hand, my attempt at overwintering spinach (supposedly a no-fail cropper) under protection failed miserably; only one plant out of a couple short rows actually made it into spring. Seeds sown in the fall to germinate in spring.
Good luck to ya!