Hey Machinebuilder coming from the east
You may want to checkout,
Acoma Sky City, which is a Native America pueblo, you take a tour bus to the top of the Mesa and you can hike the nature trail back to the Museum. It is about 20 miles east of Grants, NM.
El Morro National Monument, which is about an hour south of Grants, NM, great camping and hiking. It has Anasazzi Ruins, that are accessible via a short but steep hike to the top of the rim and the trail then circles around to the base of a huge cliff face where
"Ancestral Puebloans, Spanish and American travelers carved over 2,000 signatures, dates, messages, and petroglyphs."
Of course its a Federal area, so the Govt Shutdown would effect it, if still happening.
It you time it right you could do both in the same day and then camp at El Morro. If you only have time for one do El Morro.
Of course if you are an Eagles fan, then a 10 minute stop in Winslow, AZ to stand on the corner is worth it. Stretch your legs, grab a cup of Joe and see the building size mural of a woman in a flat bed Ford, while the song plays.
Travel safe