I shoot here. Just west of Rome literally bordering the Alabama state line.
https://www.floydcountywildlifeclub.com/
If you locate on the north end of Cobb county it isn't terribly far, just over an hour away. If you choose to live in south Cobb the distance isn't that much farther, but the traffic getting all the way across Cobb county will add a lot of time to the drive.
There are at least 2 regular members who make the drive from Marietta quite often. They are Vietnam vets who come 3-4 times/month. They pack a lunch and spend the day. They tell me it is well worth the drive to them.
This is a full service outdoor club with camping, fishing, all the shotgun sports and limited hunting (archery only). For an additional fee there is also the option for a hunting club on land near the actual club. We have a club house where social events are held at various times each year.
The rifle range officially goes to 300 yards, but some members have steel plates hanging from trees at 350 and 400 yards.
The handgun range is 25 yards back to back with the rifle range. They are only 30-40' apart, but since you're shooting in opposite directions they work independently. Of course if you want to shoot a handgun farther you can shoot from the rifle side.
Price isn't cheap. I pay $250/year for membership. I can pay $5/visit for the rifle range, or $25 for a yearly pass. Dues come April 1. I just wrote them a check for $275. If you're over 65 the dues are significantly less, but I'm not certain of the amount. But I'm thinking about 1/2 that. There is also a $200 initiation fee for 1st year members. If you join after April 1 the dues are pro-rated for the months remaining until the next April.
Through the week the rifle/pistol range isn't usually crowded. Lots more shooters on the shotgun areas. About 1/2 the time I'm by myself about half the time the 2 guys from Marietta show up and it is just us 3. Every now and then 1-2 more people. The only time I'll go on weekends is sometimes on Sunday mornings right at 1st light. If I can do what I need to do and be gone by 10 or 11 I usually am by myself. Won't go near the place on Saturday's.
The Club is open 7 days/week, but no shooting of any kind on Monday's. That is clean up and maintenance day.