I'm a newbie and my advice is purely theorhetical. So, with that caveat out of the way:
You live in a very dry area, so I don't think any raised bed is a good idea. Instead of hugel mounds, you
should build hugel swales. Dig a trench where you want your garden, fill it with wood, then bury it. The result will end up slightly higher than the rest of your yard; that's okay because the real action is happening at the
roots, not at the surface.
Because your area is so dry, you need your system to soak up and store a lot of water. To accomplish this, I recommend that you bury as little good, useable wood as possible. Go out in the forest and find old deadfalls that are starting to show signs of dry rot. Partially-rotten wood will absorb more water in less time than fresh logs or finished lumber. If you use new, fresh wood, you'll add a year or more to the time it takes for your garden to mature and produce the amazing yields we all read about. But whether you use new or old wood, I think you'll be impressed with the drought-resistance of such a bed.