IMO if the roots have enough water, san pedro type figs can grow anywhere. As far as varieties go, there is Desert King which is the most common one. Then there is Filacciano and Corky's honey delight which are both similar to Desert King. Then there is Dauphine, Grantham's royal, lampeira preta. And there's one Turkish yellow variety called yediveren...at least I think that's how it's spelled. I'd start with Desert King. It's the easiest to acquire out of those varieties. I'll have filacciano cuttings for postage this winter to help you get started. I grew up with San Pedro type figs and I can say that they have never disappointed. They produce a truck load of figs starting around early to mid June. If there's enough heat, they might even produce in May.
One thing you'll have to watch is late hard frosts. If I'm not mistaken, they can happen quite frequently in central TX. If a late hard frost strikes the tree, you'll most likely lose all the brebas. And because it's a San Pedro, there are no main crop figs to look forward to because the wasp is absent.
Hope this helps. Good luck!