I agree with BRP North out of Asheville. Be prepared for a climb up to Craggy Gardens area. Alternatively, same area, South on BRP has some spectacular views, especially from Mt. Pisgah to Black Balsam/Graveyard Fields area. Pisgah Inn is there, as well as Mt. Pisgah picnic/CG. From Blowing Rock, NC to Waynesville there are no "bad" areas. Spectacular views, waterfalls, short hikes...all along the way.
Been years since I've been on Skyline Dr but IIRC, there were not the numbers of views nor scale of vistas with interesting geological features.

edit to add: What pray tell, is that monsterous thing on the downtube of that bike, a gas tank? Rocket engine? Moonshine still?