Here's another very similar plan. The northernmost spot is a NM State Park near Farmington: Navajo Lake. Big park, lots of spaces. Nice setting from the looks of it. The route to Willow Springs might be reworked to avoid going through PHX. This has me putting in about 200 miles per day, total miles about 1300. $350- $400 in gas. Dry camping at Willow Springs, Gallup, and Valley of Fires. Possible stopover at Bisti Badlands near Farmington.