I also live in Arizona, but in slightly higher desert.
I saved the gel packs from my Blue Apron subscription. There are some large ones, and after freezing, I wrap one with a shop towel and put it out with my chicks at about 10 a.m. The 6 of them will sit on or near it, getting up as needed to...
The no electricity cooler is so great! Thanks for sharing!
I think I'll start saving up some bottles and build 3 for the chickens - one for each direction we can "harvest" the wind