A little late to the party here, but I do live in Paducah. I think Starnes probably does the most business. They do sandwiches only...pork, ham, turkey & maybe beef. No plates, ribs or chicken.
There are others in the area. Harned's, Leigh's, Backwoods, O'Tyme Hickory Pit, and a fairly new one on Cairo Rd., P & J Barbeque. I haven't tried their pork yet, but the ribs are good and the chicken is excellent.
In Metropolis, the best known is Jim's. They do a heck of a breakfast business and have good pulled pork.
Can't help you with the Superman thing