Hmm....Let's see. I'm sure some members on here have better info on the Oak Ridge Range than I do.
Oak Ridge Sportsmen's Association Then you got
Strategic Edge in Chappel, Hill, TN
It isn't too far of a drive up to Hazzard, KY....I've shot steel out to 1600 yards there...but bring a truck and not a Honda to get to the shooting area.
There is another place around Dalton or Rome GA...I can't remember...shot there a few years ago.
I've shot a few places in and around Knoxville...but it was all private stuff.
I feel your pain though...I live in KY and usually travel 3.5hrs North to TVP in Ohio to shoot long range.