My two cents is this seems both foolish and dangerous. High temperatures in the southwest deserts average above 40C and do not cool much in the afternoon.
This may be a problem that will be hard to solve in some places. There were a few places where shelter and resupply was pretty widely spaced. At least once I was overnight without resupply or shelter and had to carry water for the day. If it were 110 or 120 F That would be a problem. It was challenging enough in a Feb - March timeframe. Be very careful planning your next stop in places without resupply of water or shelter. I can't advise on how to manage that since I have not done that the time of year you plan to go.