I am in knoxville. Depends on what you are hunting. I like the foothills WMA because it is quiet and bigish. However, I've tracked plenty of deer there, but seem few and the terrain is VERY rough and steep. I happen to like this. Most don't, which is why it is quiet. There is ok turkey hunting there and decent bear hunting, except no dogs are allowed.
You should consider putting in for some of the quota hunts. Applications are currently being accepted for quota turkey hunts at the chuck swan WMA.
Most people that hunt the WMAs hunt Royal Blue and Sundquist. They are about 35 mins north of Knoxville right of I-75. There is good hunting there (be careful, there are lots of elk there), but don't be the person who parks, walks 100 yards, then complains about lack of hunting. R.B. and Sundquist are popular, so you have to put you scout hours in, and get away from the roads.
Catoosa is so-so. I was driving past it last week and almost hit a deer. It is a further drive than the others I've listed, and tends to be a little colder since you are up on the plateau.
For ranges, steer clear of Coal Creek. Gunnys in Maryville is tolerable. If you live in the area, consider a membership to Oak Ridge Sportsman's Association (ORSA). If you want info on it, PM me.