Sure! You might also want to research farming methods of the Tohono O'odham and Akimel O'odham, formerly referred to as the Papago and Pima, respectively. (Look for books by Gary Paul Nabhan, Amadeo Rea, and Wendy C. Hodgson, among others.) They have long engaged in dryland farming, including -- probably most famously -- wheat and cotton. Teparies, cowpeas, chickpeas, corn, squash, and devil's claw are other important crops. I'm no expert, but my understanding is that they primarily engage(d) in floodwater irrigation of their fields by placing them at the mouths of washes, etc. or in river deltas. Lots of canals and other direction of irrigation waters.
We modify what little we know of O'odham methods for our situation to grow tepary and other beans as well as various squash in deep sunken beds/rows fed by floodwater irrigation canals and filled with mulch. We seed those into the sides of the ditches. We seed devil's claw (we eat the immature fruits) at the edges of the tops/sides of the paths. We do flour corn in the same way when we plant it (not this year). The sunken rows and beds are dug once and composted and mulched repeatedly, and we assume we'll need to get in there and re-deepen them after a couple years because of accumulated soil and sediment, but no regular tillage.
We tried sweet potatoes in a sunken bed last year, but digging them up messed with the careful grading of the irrigation, so this fall we'll dig a bed specifically for
roots and tubers (including potatoes and garlic, but also native plants like flame flower, hog potato, etc.) that will be fed by floodwater irrigation but placed so that digging in there to harvest won't mess up the watering of any other areas/crops.