Bundles of wood are available in Blythe, and probably at stores in Quartzsite too. For cooking for myself, I've always used butane, which is actually more expensive than propane. I only use a can a week, approx. $3/can. But, I also eat a lot of no-cook foods.
At the RTR, I believe Bob gets cord wood hauled in for our nightly fire ring. Desert plants grow so slow that burning them would soon decimate the landscape and wildlife habitats where folks boondock. And in the dry season, some living desert plants look dead (as a survival mechanism); so, some people could mistakenly burn living cacti.
Suanne ... packing her car up today and tomorrow ... ready to head south