Just a quick recommendation: Try Hwy 276 between Brevard NC and the Blue Ridge Parkway!
Leaving Brevard and heading into Pisgah National Forest, the road begins as a bunch of straights connected by gentle sweepers, but as it begins to head up the mountains, the road gets more and more aggressive, with nice banked switchbacks and s-curves connected by occasional straights. There's usually pretty good views of the roads ahead for safety- pretty important since there tends to be RVs on the road here and there. Drive it uphill, pull onto the beautiful Blue Ridge Parkway to allow your brakes to cool, then you can turn around and head back down to Brevard.
Warning: be mindful of your brakes on the downhills. I've actually managed to boil my brake fluid on this road before!