Steve,
This is a great thread, and thank you for your lists!
Have you tried to grow Savannah (HT) in Arizona?
I learned of it from "Roses without chemicals" by Peter Kukielski, where it was praised as a very tough rose. (See scanned page from this book below.)
He suggests not pruning for at least the first year. He prefers to observe how the rose wants to grow during that time and, once pruning begins, doing it in moderation to encourage that growth pattern rather than change it.
I planted three Savannah (own root) from Chamblee's in spring, 2016 and love this cultivar.
I would be curious about how it would perform for you in your extreme conditions.