Concert Venues in Paducah, KY The Carson Center Where: 100 Kentucky Avenue, Paducah, Kentucky - 42002 Events: 5 Heartland Church - Paducah Where: 4777 Alben Barkley Dr, Paducah, Kentucky - 42001 Events: 2 Paducah Convention Center Where: 415 Park St., Paducah, Kentucky - 42003 Events: 1