Here’s a site taking advantage of Google Maps and showing where various movies were filmed in Tennessee. You can type in the name of a city or, search by name of the film, or put in an address and see what was filmed within 25 miles of that spot.
Within 25 miles of Kingsport, where I grew up, I found Days of Thunder, The River, Dreamers, The Work and the Glory: American Zion, and The Evil Dead.
None of these, alas, are destined to become classics of the silver screen. Try your favorite Tennessee town–maybe you’ll have better luck.