It's not really a "CB name" it is called your "handle", and my handle would be "Buck Naked".
Just watch the movie "Smokey & The Bandit" -- you'll get a crawful of CB talk. And wouldn't you know it.... "The Bandit" was Burt Reynold's character's name in the movie.
I wouldn't know what to do without the Internet. It would be like that episode of south park.