If you're near I-24 I would shoot with these guys
About 1 Hour SE of Nashville
About 30 Minutes SE of Murfreesboro
http://www.midtnshooters.com/
Depending on your location you might consider these guys
About 1 Hour West of Nashville
http://www.ntps.org/
I'm a member at Maury County Gun Club
About 1 Hour South of Nashville
http://www.maurycogunclub.com/ (Website incomplete)
You will be able to move and shoot as you want at MCGC but not as much of a competitor club as the two above.
Other local clubs of interest.
http://www.gallatingun.com/ (IDPA Matches but Membership Closed)
http://www.mctsclub.com/ (IDPA & USPSA Matches but looking for perminent range)
If you become interested in 3 Gun Matches let me know, there are a couple more places to go but not as close.