UGA would only be affordable with its highly competitive Foundation Fellows (Stamps Foundation) scholarship. Only 30 are awarded per year. The Foundation values high academics and leadership, if the OP decides to submit an application.
But as others are saying, IMO it makes more sense to devote time to privates that meet need. I’m a little unclear on the OP’s income (possibly a non-custodial parent), but since Questbridge was mentioned I’m assuming meet-need schools will have a chance at being affordable. I just caution OP to pay attention to any loans and work study included in aid packages.
Emory is strong for the major and located in the state capital. It will meet need. It is not a big sports school but is close to GaTech for their sports.
I think Duke (on your list) is a reasonable reach… and with sports! 
As you’re applying for Morehead Cain (UNC) and Jefferson (UVA), look at the Robertson scholarship for Duke (and UNC). Again, these schools should be affordable on need aid alone but the perks of these named scholarships go beyond the full ride.
Wake would be a bit easier admit, meets need and has a few full ride merit scholarships.
If LACs are in consideration:
Tagging onto @V3rnor ’s post, W&L should be affordable with need-aid. However, if you don’t mind the extra essays and interview, it would still be worth applying for the Johnson Scholarship due to the $10k per year stipend on top of the full ride. The Johnson is awarded to 10% of the incoming class (approximately 44 students) so chances are a bit better than some other highly competitive scholarships.
Davidson is another LAC with generous need aid and merit scholarships. The Belk and James B Duke offer programming and resources beyond the scholarships.
ETA: I typed this yesterday and failed to post. So there’s now some overlap with other posters.