I'm a softie. The only trapped animal I can kill is a pig, figured that out the first time I ever trapped a coon. I have no qualms with shooting them now I just don't see then during the day and usually don't wait around for pigs. I'm a dont kill it if you aint gonna eat it kind of person.Are you baiting deer? If you have cameras set up near bait you will see just how many and how fat the coon population is.
Is there a reason you aren't trapping them now if you don't want to shoot them during deer season for whatever reason? You could trap them and take them away from hunting area / peak times and kill them. Or offer them to a trapper for free who may want the hide (if this is legal in GA).