For many, waiting the weather out is an option that comes with some pretty significant downsides. I've towed a lot in snow, and on ice and don't have an issue with it at all except for the heavy traffic areas. The number of Americans who have virtually no ability beyond mashing the pedal and pointing is amazing. Defensive driving is always a must, especially in anything but optimal conditions, with the biggest problem I encounter being folks cutting in front of me taking away the following distances I prefer to allow in snow. Obviously, you'll want 4 wheel drive for the improved vehicle controllability it provides, and the extra ability for getting things moving is nice as well.
Last January, we had to move the Son in Laws 5er from North Dakota down to Wyoming, and only had 3 days to get it done in (He's living in 5er working the oil fields). Unfortunately the time period we had corresponded to a big storm passing through. Day 1 was 950 miles or so running empty through heavy snow from Salt Lake City through West Yellowstone to Bozeman Montana where the roads and skies finally cleared up and we had clear sailings to the Watford City ND area. Next morning, hooked up the 5er and towed through snow and wind for 650 miles on roads that kept closing as we were driving (GPS kept saying road closed but gates were still open when we hit them). Stopped in a motel in Rawlins Wyo for the night as snow drifts closed the road to the RV park. Mid day next day, parked 5er, waited two more hours for I-80 to re-open and returned to SLC. Seems to work out for us this way quite often when we do our runs south periodically through the winter seeking a few days of warmth and clear skies when we can break away from work.
As you can see in the photo, at least the wind blows the snow off the ground in the Wyoming RV parks. High ground rules in the winters here.