Other than FedEx in MEM, not many places domicile pilots in TN anymore. I think Pinnacle still has an RJ base in Memphis, but mainline Delta closed its Memphis pilot base. Mesa used to have a base in Nashville, but I don't believe they do anymore. American has long since closed Nashville as a hub, and the biggest player in BNA is Southwest, but they don't have a pilot base there. PSA has a relatively small domicile in Knoxville. That's pretty much it ... get on at FedEx or a couple of regionals.
The closest you can realistically get to TN basing is probably SDF (UPS), CLT (US Airways), ATL (Delta, Southwest), or CVG (Delta). Embrace a longer drive, flying to work, or moving, I'm afraid to tell you.