Becky Wiese wrote:West Texas, highs of 104+ in summer. Winter lows in the 30s and 20s, occasionally lower. I'm new to this, but my initial thought was that storage wouldn't be confined to a particular season. Clay soil...
So, you have 2 different situations you need to plan for. They may, or may not, be mutually exclusive!
Keeping things cool when in extreme heat needs shade and insulation from above. Evaporative cooling might help, but may be a problem if water is a really scarce resource. Installing the box in the ground, then planting trees and shrubs that will eventually shade the spot is the idea coming to mind. Having something like a kids wading pool on top of the lid that you can put a few inches of water in, would evaporatively cool that patch of ground, and when it needs dumping to stop algae, it will water the trees (assuming it doesn't evaporate so fast that none is left.)
No matter what you plan, if you can't easily get into it to add and remove veggies, you may find it isn't used enough to have been worth it.
Adding extra insulation on top to stop the food from freezing in the winter is fairly easy. Many people use bales of hay/straw if it grows locally. But it won't insulate if it gets wet, so planning some sort of cover is critical.