Here is what I would do, group or not. Secure lodging in the vicinity of the Nantahala Outdoor Center http://www.noc.com/
in Wesser, NC. From there you are in the middle of 2 lane hwy nirvana. You could do "the tail of the dragon", not my favorite, I prefer the Cherohala Skyway. http://www.cherohala.com/
There is also the Blue Ridge Parkway to the Pisgah Inn, a great place to stop for lunch, or to stay the night. http://www.pisgahinn.com/
From there you can find your way back to the NOC via any number of 2 lane highways. Just string together a route through Franklin, NC-Highland, NC-Cashiers, Toxiway etc, etc... It will be a great two or three day drive in the mountains, and you could always throw in a white water rafting trip on the Nantahala.