Oliver Lee State Park has both water/electric and dry camping sites. There are two camp host sites with full hookups that if vacant are available to visitors. There is a dump station. The electric/water sites are fairly large, but many are not shaped for easy access by longer RVs and some are not very level. There are some very long dry camping backin sites. It has been mentioned a lot on the internet lately and this year in mid-October all the water/electric sites were taken by 1PM.
Valley of Fires and Three Rivers Petroglyphs have also been mentioned a lot. The two sites with hookups at Three Rivers have been full every time we have gone there the past couple of years (usually in October).
As a photographer, if you have not been there before you might want to consider visiting
City of Rocks and
Rockhound State Parks near Deming. Both have campgrounds with some electric sites. Just outside of Las Cruces is the
Organ Mountains - Desert Peaks National Monument.
If you go through the Capitan area, there is the
Smokey Bear Historical Site,
Fort Stanton Historical Site and the
Lincoln Historical Site.