If you ride the south leg of the BRP, you'll want to check out the Hot Springs, NC area (neat little town, by the way). 212 (north of Hot Springs) and 209 (south of Hot Springs) are nice, twisty roads, with some good views.
Others have mentioned Deal's Gap and the Cherohala Skyway, both of which are fantastic roads. That said,that area is littered with excellent roads and beauty. Ride through the Nantahala Gorge area; nice sweepers and it follows a river that has rapids, rapids, rapids. Much to ride, much to see in terms of natural beauty.
Don't miss northern GA, either - the good stuff is only a few hours of twisties away from the Deal's Gap area... US129 over Blood Mountain, Warwoman Rd to Clayton, Wolfpen Gap Road (180) near Suches, Richard Russell Scening Parkway, Hwy 60, Hwy 107 (actually in SC), etc., etc., etc. are all awesome roads. Heck, all you need to do is point your bike in any direction and you'll find fine, fine roads. Suches is where Two Wheels Only is located, a nice little motorcycle resort. Great food, great company. Book in advance if you want to stay there. You'll very likely meet some very intersesting people. Beautiful morning light, there is in northern GA. Here's a few snapshots near Suches:
And, if you get far enough south, say, just east of Birmingham, AL, You MUST check out the Barber Vintage Motorsports Museum. If you've not been there, you'll be overstimulated by the hundreds of bikes (that run!) that reside on display. Including some
very, very nice Ducatis and every other make in the world. The riding near there isn't nearly as beautiful or fun as northern GA, western NC, and eastern TN, though.