hi Stan, sounds like a plan...
I spent a bit of time wandering AZ on my bike a while back... so I did some observations and such there.
I'll start by saying that hugul mounds might be a fool's errand, as you say, in your arid location, but burying the wood below-grade might be a much better option.
Buried Wood Beds permie thread you might want to research a different tree to plant unless you have a lot of water. Here is something I found about walnuts:
As a first rule of thumb, the average commercially grown walnut tree needs 1270 mm (50 inches) of precipitation every year. As a second rule of thumb, the walnut trees need more than 50% of the annual water supply during summer (June, July, and August).
Check out
This link that includes things that do grow under mesquite In this case, if you have some water to nurse the plants through a couple of seasons, I would go with trying a Texas Mulberry tree, some Wolfberries, and a desert hackberry tree which can grow large with some watering, with an understory of a
local wild grass and maybe some softer plants like chia, and amaranth type species, like lambs quarters.
When building your hugul or buried wood bed make sure that you do not have the wood touching each other. Bury each piece and pack the soil between the pieces and layers, moistening the layers as you go, add as much nitrogen-rich materials as you can to aid in the woody breakdown.
Mesquites are a nitrogen fixer. They provide nitrogen to other species in ecosystems but put out a lot of nitrogen into their leaves, pods, and seeds. Pods especially. You probably know that the whole pod and seed combination is a very nutrient-dense food source when milled to a powder. As far as them competing for water, it depends on your location's water table, probably, but judging by the fact that you have nearby cottonwoods, I'd say that this isn't an issue. If you don't know your water table depth and how that might affect this, go for a hike in the wildlands nearby and look to see if anything is growing under its canopy. I would think that mesquites are also very good candidates for
FMNR Hack them to the ground at some point, and they will regenerate from their
deep roots, and then choose the strong shoot to provide a canopy for other trees, while having continuous sprouting of young softer material for use as mulch or
compost or rocket fuel.
The big question is, how would I define success? I would imagine that success would be the mesquite slowly dies back due to excess moisture, shade, chop, and dropping, etc... and the new plants thrive and take over the area.
I like how your imagination works. :)