I plan on Parking near the grindstone campground for a backpacking trip November 22, 23, and 24th. Are the roads usually plowed around there if there is snow? Thanks!

You probably could call the visitor center at the campground where you are going it Forest Ranger. When I was in Gatlinburg, we had to call that morning we were leaving to see if the Parkway was open. I would call now so you can have a plan B in case they closed the road.

Generally yes I believe so. It also depends on how soon you come after the storm which will affect if they've reached it yet or not. But eventually they do yes.