Here's a list I found by searching 'shade trees zone 7'. GA has some colder areas in the mountains, so some of these will work for you.

Here is a link that might be useful: Univ. of GA fast shade tree list

I believe that you will be well pleased if you select a Golden rain tree, Koeleuteria paniculata Laxmann., is a very fast-growing and extremely hardy,deciduous shade tree.
This tree has been assigned to the tropical family; Sapindaceae. It thrives here in zone 6 and 7 and appears to be resistant to both fungal and insect damage. When it flowers, you will realise why it is termed Golden raintree
Perhaps you will be able to find a good write-up and some photos in your local library.

There are several trees called golden rain tree. Koelreuteria paniculata is the common one, but is also considered a pest tree by many people because it re-seeds enthusiastically, and some people are allergic to the scent of the flowers. But it is a very attractive tree.

If you have space, do consider the Carolina Silverbell. It's smaller, but sturdy and tolerant of neglect. I haven't had any problem with seedlings. It is said to be found along streams and in moist areas, but mine is at the top of a ridge slope, and gets no extra water.

Here is a link that might be useful: silver bell tree