At Bass Lake? or in the park?
If you have plenty of warm clothing and a way of drying things out if they're wet, the possibilities are endless.
What to do other than the park - well, there are trails around Bass Lake - one to the lookout on Goat Mountain, another to Angel Falls, another to Red Rock and Corlieu Falls (Lewis creek trail). Hite Cove is open, tho probably not the mecca of wildflowers it will be in spring. You can still probably see Nelder if the roads don't turn into deep mud - they aren't paved out there.
Don't know about the snow... don't think there will be enough yet to play in, and if it's still stormy, it can get wet and not fun to play in.