Oye. Yeah that 105+ degree weather is tricky. At least in GA its humid enough that my transplants don't lose THAT much water when its cracking 90+ outside (97 next week, I think). I would probably play the fig shuffle for a couple weeks, giving them morning sun before bringing them inside. Then, as they get used to direct sun, maybe move them from morning sun to the shade, so they have to cope with the heat, but not the harsh sunlight. Eventually you can hopefully move to full sun...eventually.
Also, if they're in pots, I wouldn't skimp on size, and maybe even paint them a light color?...they're gonna need all the help they can get not getting their roots cooked.