Hi Cbalducc.
I don't know the answer to your main question (the must have figs for the South) but I can't wait to hear the answers from others who do.
As far as I know though, you certainly have two good choices already, the Alma and Celeste.
The LSU fig varieties may also be promising for this climate, but I am anxious to hear what others think. I have a purple and gold LSU that is a reliable producer, and the Purple LSU has its first crop this year, I also have an LSU gold on the way. These seem to do well in the South, but so far, I would say any fig does well in the South. We grow all ours in ground, planting them in good amended soil, and then stand back. They grow pretty well here.
As far as FMV, it's every where already as far as I know, probably including your current figs. I have over 25 varieties now (most of them still pretty new). Probably all of them have it, some show it, most don't, all of them are doing fine even with it. It's simply part of our world. We humans have viruses too, and generally, we adapt and move on. So in general I would focus on doing good things for your plants (good soil; lots of mulch; watering when they need it; etc.). Healthy plants will fend off diseases the best, and there will always be diseases, fungus, etc., these are part of the natural world. And if you worry too much about FMV, you will miss out on some of the best varieties to grow.
I wish you great success my friend.
John
North Georgia Piedmont
Zone 7b