i lived in cookeville for past 16 years and just moved to far east TN last summer
it used to be a small college town, with an extremely low cost of living and extremely high level of education, and it won a bunch of awards back in the day as most affordable place in the US. but it's grown a lot since then. Combination of the normal housing crunch with damn yankees moving into the state, with decent folks trying to get a little farther from nashville AND last spring there was a tornado that destroyed over 100 houses.
so it won't be easy to find a decent place to live.
there are several good gun shops in the area. one has an indoor range. there are 3x 1000 yard ranges within 1.5 hours (Oak Ridge, Tullahoma and dead zero in Spencer) and I used to host sniper and PRS matches on a farm just south of cookeville, so there's quite a lot of long distance shooters in the area. you could also go south of nashville to another range, but it's private and there's a long list.
oak ridge and dead zero also have monthly 3gun, uspsa, NRA/CMP HP, benchrest and IDPA matches.