Don't forget that "fast growing" also means "regular pruning needed". Don't let the size of the vine get ahead of you. Prune each year right after flowering. Make sure the trellis is heavy duty.
I would urge you not to use Wisteria unless you are prepared to prune on a regular basis and to stress what Walter said, a heavy duty trellis. One vine that I did not see suggested was Confederate Jasmine. Here is a photo of what it looks like. It does well in your region.
Smilax is always a popular vine for gardens in the South.
It is evergreen. Climbing hydrangea is fairly slow growing and has a white bloom in late spring/early summer. The native crossvine (Bignonia capreolata) has an interesting orange bloom and is evergreen. You might try the Lady Banks Rose (no thorns) that blooms in early spring. The white cultivar is fragrant; the yellow is not. Another jasmine or jessimum that might work is Pride of Augusta
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with a double yellow flower and fragrance. After fighting wisteria and sweet autumn clematis seedlings I don't feel comfortable recomending them to anyone one.
Mike and Anne have good suggestions but it's worth mentioning that Lady Banks looks innocent but in Georgia (most parts) it gets massive. I love it but make sure to have a heavy duty support.
I'm with the Carolina Jessamine folks, and with Walter. I've seen Jessamine go through a soffit vent into the attic of a house before. Make sure that there is plenty of air flow around the plant so you don't build up moisture against the wall (don't put the trellis right against a wall) and prune it every once in a while.
It is evergreen. Climbing hydrangea is fairly slow growing and has a white bloom in late spring/early summer. The native crossvine (Bignonia capreolata) has an interesting orange bloom and is evergreen. You might try the Lady Banks Rose (no thorns) that blooms in early spring. The white cultivar is fragrant; the yellow is not. Another jasmine or jessimum that might work is Pride of Augusta ...»