Deb and I were down in NC last week (in a car), and I found a great road for us to ride on the bikes.
The Joyce Kilmer road that goes from 129 over to the Joyce Kilmer Forest is a nice ride - and even cooler is the road that climbs up the mountain once you get there. The road climbs a mountain and is dead end with a nice overlook at the top. When we went up there was nobody else on the mountain - however that is likely to change as the summer comes.
We will need to go see this road on our next trip down to Deals Gap/Tail of the Dragon.
They hold a race on the mountain - this video shows the road but you can't appreciate the steepness in the video.
https://www.youtube.com/watch?v=veTM6fBcU7k