Congratulations on the next chapter.
As long as you put good tires on it, I think it will do ok in most weather that you should be traveling in. Sure, you might have chain up for best traction, but you also can wait that out.
Fwiw, we had no issues with our 32 ft Class A on a Feb ski trip to BC. I also knew a lot of people that regularly took theirs to the passes in WA for the weekend to ski. My older friends drove all over CA, NV in Winter in their 30 ft one. They are very heavy.
My suggestion is put some 3 Peak tires on it if you are at all worried about traction in Winter. A Banks Power pack if it doesn’t have one will help a bunch if it is gasoline.
Have fun.