I am not sure about how far it would be, but Winter Place, outside of Bluefield/Princeton West Virginia might just meet your expectations. It has excellent tubing, ski and snowboard lessons, a nice warm and cozy lodge.
It is about 2 miles off of I-77, so even if it does snow, the roads are usually cleared and open within a few hours after the snow stops.
Winter Place linkOr you could consider the Boone/Blowing Rock, NC area. There is sure to be snow in the mountains. They usually begin making snow around Thanksgiving or earlier if temps are cold enough.
Also, you might consider staying in a cabin, lodge or hotel instead of dragging your RV behind you.
Most campgrounds in the "winter" areas (read snow) close about Dec 1 and don't reopen until the snow melts in March or April. If it is cold enough to snow, it's cold enough to freeze the water pipes, therefore, they close.