After you run in the snow, the first thing is to get as much of the heavy snow off as you can. Then if you have an air compressor, use it to blow off the rest of the snow and water. Use a hair dryer or heat gun to dry the rest. When you're done with that, make sure you oil up your bearings and anything else that might rust.
Get any remaining snow off and blow the truck off with compressed air. Give it a good dusting with WD-40 when your done, it will prevent rust and should help displace any water hiding out in unwanted places. Lube bearings and such afterwards.