I live in the Smoky Mountains near Sylva. I tow all the time in and out of the mountains using our 4 Runner with a V8 and our Tundra most of the time I am towing my boat which weighs around 6,000 pounds. My sister lives in the Dallas area and if you wish to come to the Cherokee, Great Smoky Mountains National Park side of the area you can take 20 out of Texas go through Atlanta to 85 take it to 985 and head north as it basically turns into 441 US 23. It is a nice drive and avoids the Saluda grade completely.
We rarely stay in private campgrounds so I can not help much there in deciding. There are number of places in Cherokee near the BRP like Yogi Bear and a KOA that I know of. We stayed a nice place near Spruce Pine as a kid that is still in Business today called Bear Den and I have stayed in a private place near Valle Crusis called Grandfather Mountain.
The Mile High Campground near Balsam is fairly nice and right off of the BRP. I have not stayed there but have seen it.
Bob, Tonya and the kids
11 Rockwood Roo 233S
08 Grady White Seafarer 228
08 Tundra 5.7 liter 4x4 crew cab TRD limited
08 Toyota limited 4 Runner Iforce V8 full time 4WD, tow package