I've been to every major Civil War battlefield except Shiloh.
This is really neat. I will say, it is easier for you in Atlanta since obviously most of the battles were fought in the South.
The next two I really want to get to are Antietam and Perryville.
Antietam:
The bloodiest day in American History. This battle is much less well known than Gettysburg mostly because it was a less comprehensive Union victory but it had a major impact on history. For one thing, just like Gettysburg about a year later, this battle was forced by the Union as a check on a Confederate invasion of the North. Secondly, Lincoln had already written the Emancipation Proclamation but he and his Cabinet felt that releasing it would reek of desperation unless it could be released after a Union victory. Antietam was somewhat inconclusive but that was good enough for Lincoln and the Proclamation was released September 22, 1862 - five days after the Battle.
Perryville:
This battle has much less of a macro-strategic interest but it has a personal connection. My 2-Great Grandfather Joshua fought there. It was his first action. The 97th OVI had mustered in on September 1, 1862 at Zanesville and was then sent to a camp outside Columbus for training. About a month later Confederate Troops under Braxton Bragg invaded Kentucky hoping to trigger a secessionist takeover of that state. Union commanders in the area were short on troops so Joshua's and his unit's training was cut short and they were put on a train bound for Cincinnati. Then crossed the Ohio River to Covington on a steamboat then marched South. - side note -
If you've ever driven South out of Cincy on I71/I75 you know how ENORMOUS that hill is. Every time I do that it amazes me that these guys did it in wool uniforms while carrying weapons, ammunition, food, etc. I think I'd have gotten about half way up that hill and said "Why don't we just let them secede".
Anyway, October 8, 1862 at the Battle of Perryville is listed on Joshua's service record as the first of his "156 days under fire".
From what I've heard the annual reenactment at Perryville is one of the most well attended in the whole country largely due to the fact that it is one of the few northern battlefields so it is closer to all of the northern reenactors. Since Joshua was actually there and he was a common soldier I also think that I could get a run of his diary printed up and probably sell them pretty easily at the reenactment.