Stovie, You will need a radiant barrier, backed with insulation, in addition to your second wall/rainscreen.
When I put on my second story addition, I used 2"x6"s with a hybrid foam (1" to 1.5" sprayed on the inside of the exterior sheathing) and high-density blown-in fiberglass insulation (to fill the rest of the cavity). I wrapped the exterior with an aluminized radiant vapor barrier then I put on 1"x2" furring strips on 16" centers to attach the exterior siding. The second story was cantilevered all the way around. I put a strip of soffit vent under the air gap. Heat from the gap exhausts to a similar gap under the roof deck, then out the ridge vent.
With that arrangement, I keep the whole house cool with the same high efficiency window-mount swamp cooler that cooled the original space. I do need to boost the flow for the cool air to reach the second story.
In Ivins, your walls (except the south and west facing wall) would be the least of your concern. Most of your solar heat gain comes through the roof. A whole house radiant barrier with an air gap and a second skin, properly vented, can nearly eliminate solar heat gain (not counting the windows, which is another subject). Add decent insulation and you protect your interior from the exterior ambient air temperature.
I don't know if you can avoid using at least a swamp cooler to stay comfortable in 100+ days. You might be able to do something more "passive", i.e. using a solar chimney to pull air through pads in the basement.
Earth tubes can be pricey to install and I would caution that you might have some pathogenic fungus issues to deal with in Washington County, specifically, Coccidioides immitis, which is endemic to the area. If you want to go with some sort of low-grade geothermal, a liquid to air system might be cheaper to install and safer to use, but would need a pump and fan. You could use it to pre-condition the intake air to your cooler or heater.
You could just move to Cedar City or Veyo (or Brian Head), at least for the summer, and save the bother.