I came across this article on how one experienced hiker hikes through snow, in terms of socks and footwear, and thought it worth sharing for anyone that it may be of interest to.
She does:
Layer 1 - Darn Tough Running sock
Layer 2 - Sealskinz Waterproof socks - eg https://www.amazon.com/Sealskinz-Weight-Length-Black-X-Large/dp/B00LYLA0CM
Layer 3 - Waterproof version of same model of shoe (in her case Altra Lone Peak Neoshell)
The article is here:http://www.eathomas.com/tips-to-keeping-feet-happy-in-the-snow/
Best,
Emma