In all likelihood you won't be able to enjoy the "Tail" that much because the highway patrol has really been cracking down out there. They can have 10 patrol cars or more out there and will give you a ticket for almost anything (even having a camera in hand). Check out this website - they are good about keeping activities around the Tail posted.
Tail of the Dragon at Deals Gap and Cherohala Skyway, Graham Co, NC