Like others have mentioned, The Dragon is must do for the t-shirt, but there are really a lot better roads in this area with out all of the organ donors. Do definitely ride the Cherahola and a ride over the Smokys into Gatlinburg is worth the ride.
A trip into Maggie Valley to the Wheels Through Time Motorcycle Museum I highly recommend, but check their hours before riding in... http://www.wheelsthroughtime.com
There is another road near the TN/VA border called the Shady Valley Snake which is also a fun ride, but it doesn't have the notoriety of the dragon. I found a road in my own back yard a few weeks ago that made the dragon seem tame. Rt 66 out of Rogersville, Tn.
I doubt you will be disappointed with a trip to this area.