Hi Pat,
Pretty slim pickins' for compelling golf on the west/southwest side of Atlanta.
If you've got connections, Piedmont Driving Club is very close to the airport. A maximal Rees design (just like the rest) with lots of holes built up high over the edge of a lake. It's actually one of his better jobs, IMO.
Browns Mill, a city owned course, is nearby. It's in a "rough" area but I played it quite a bit when I first moved to town. It's a really nice piece of land--I always thought it could be a jewel with a proper renovation. Haven't been back for a while so I can't vouch for conditions, but maybe worth a look.
Eagles Landing, a 27-hole Fazio design is about 25 minutes from the airport south on I-75. A real estate deal but the golf is pretty, and pretty good. Private but accessible.
That's all I can think of right now. Good luck!
Derek