Hi. I have been growing figs in Arizona since last year. There are several long time forum members who are in Arizona. Hopefully some of them will chime in. You can also check on the other forum.
So far I have found my best growers to be Desert King, Violette de Bordeaux, LSU Purple, Black Madeira, Joe's Jersey (my unknown), and Hardy Chicago. Even Barnisotte seems to like it here. All of these figs have continued to grow in the heat. Most are growing figs. Other varieties have not done as well for me so far. Not sure if they just need more time.