That would be a perfect place to go. Make sure you check out the Ghost Ranch, Abiquiui Lake (there is a BLM campground), Bandelier National Forest, (also has a campground) There are also some forest campgrounds, Pilar, Rio Bravo and Arroyo Hondo closer to Taos, and if you have the time check out Chama and if its open take the awesome train ride.
OH if your dark sky lovers. Plan to spend a couple nights at El Vado Lake State Park, which is closer to Chama but not far from Santa Fe. It is noted for its night skys and beautiful sunsets as is a sister state park, Heron Lake.