The metro-Atlanta area has LOTS of places to shoot, both indoor and outdoor; both public and private. These outdoor ranges all run matches open to the public, even if the club is otherwise private. For example, even though Cherokee Gun Club and South River Gun Club are both private clubs, they run numerous matches (IDPA, USPSA, trap, skeet, etc.) that are open to the public. Many indoor clubs run competitions, too.
For a list of matches, see my Atlanta Area Matches calendar.