Capital City Country Club is an 18-hole private golf course in Atlanta, Georgia, built in 1911 and designed by Herbert Barker. It sits in the $$$$ (splurge) price range for golf in Georgia. The course is open all year. Tee times can be booked 3 days in advance. Play is generally limited to members and their guests.
Details like fees and seasons change, so call the course before you head out.