In snow covered areas, I always wore Bunny Boots if the temperatures were less than 10 degrees and Artic boots (w/wool inserts & regular socks).
Regardless of the footwear, if my boots got wet, I swapped socks (wet for dry) and put my boots on and kept doing business until the fresh pair of socks became damp (ie: cold) & then swapped them out again.
This is why I usually carry 6 pairs of socks w/me. I dry the used socks out by the fire when I stop @ night.