Lot of Campgrounds around the Red River/Questa Area above Toas. Never camped there, but have looked at the Carson NF website. Several sound very nice. Very pretty up that way.
Eagle Nest Lake State Park isn't far from Taos. The park is surrounded by the stunning scenery of the high mountains of the Moreno Valley. The lake is at 8,300’ elevation.
Near Eagle Nest, Cimarron Canyon State Park in very high elevation, pretty setting.
More Northeast by Raton, Sugarite Canyon State Park is a nice one.
Hyde Memorial State Park above Santa Fe (most of the state parks have free showers, but none here).
Find a Park Map. NM State Parks: $10 no hookup, $4 for electric, not entry fee on top of camping fee.
Cochiti COE Campground & Tent Rocks Nat'l Park in Northern New Mexico Off I-25:
Near Santa Fe - Very Neat Area.
Santa Fe & Bandelier Nat'l Mon't area of New Mexico -A Trip Report 2012.
Los Alamos is a very neat small city in itself. Free bus system with very neat buses. Very pretty setting up in the high country. Somewhat of a gated community as well. We only drove through & stopped at a SuperMarket. A nice town.
http://www.visit.losalamos.com/http://www.losalamosnm.us/transit/Pages/default.aspxMore on the Santa Fe Area Expanded & ABQ.
Above Santa Fe, theForest Service
Black Canyon Campground is just before Hype SP. A nice one. Nice ones by Pecos - east of Santa Fe off I-25 (never camped there but have heard good reports about them).
Jack's Creek CG might work for you.