There are several good roads in and through the park. Sunday I travelled from Cherokee to Newfound Gap (5'046 ft) and Clingmans Dome (6'643 ft) the highest point in the park. Due to pollution the view up there was not very impressive though. From the parking lot to the top of the mountain with the tower there is a steep trail of about one mile round trip for some exercise but little view. (The camera was set wrongly, that's why there are no photos from the top).
Some of the photos are available here.