I read a tiny bit about it, and it seems like clove currants, the yellow-flowered kind with small black currants, are most disease-resistant. Our humidity in GA will likely cause issues with most currants.

I planted from Whitman farms the black currant Titania. They have lots of options.

I've had trouble keeping currants healthy here in Virginia - I don't know how hard it will be even further south. Currents really are a plant for a bit further north than either of us.