Sounds like you did all you could to dry it up, but i would find a way to avoid that happening again, you don't want damp, wet housing. It happens, but i would try seeing a way to either stop it or reduce it whether you add something or adjust the door etc.
Yes, i just clean around mine lol my coop is raised(no digging out of snow) but still tall enough for my 5'2 frame to stand in, there are only 4 but i am always around the girls, they are fully tame. I also chose birds who are good for cold regions, my winters extend more and more the older i...
Honestly, the best thing i have found is watch your birds, they provide the best info on whether what your doing is working, climate vary, housing varies and even the breed makes a difference in what you require to keep the birds healthy.
My coop is not insulated persay more just structural...