This is a good question. It is very rational and good planning to consider how far away you live from your plastic surgeon.
First, let's make it clear that the vast majority of patients do not have complications after surgery. However, a few do have complications and, no matter what, you will be having post-operative visits with your surgeon.
I trained in Atlanta and am very familiar with the surgeons there, particularly those at Atlanta Plastic Surgery and Paces Plastic Surgery. All are excellent. I think it is more important to choose a good surgeon who is recommended to you rather than one who is close. However, I am not familiar with your life and responsibilites.
If it will be difficult/impossible for you to travel for your post-operative visits, I would recommend someone closer to home. Find out how often your routine post-operative visits will be so you can determine if this schedule is possible for you.
If you have your surgery in Atlanta, and you have a complication that requires immediate attention, your local plastic surgeon will be available to help. Usually, complications are minor and require more frequent in office follow-up visits, so again decide if you could make more frequent trips to Atlanta for this care.
I have many patients who travel far distances to have their surgery with me. The biggest consideration for them is usually that we ask them to stay in the area for several days after surgery before returning to home. They have to find someone to manage their home during this time (you need someone to do this anyway after tummy tuck) and it also adds to the expense.
Not all plastic surgeons ask this of their patients, so find out from your Atlanta-based doctor how long they want you to stay in the area after surgery.
Keep in mind that for the first week or two someone will have to drive you to your doctor's appointments.
Hope this helps.