Visited Sandia Mountains Aug/Sep 2015 from California. When we first tried to put the trip together, we could not find any camping there. Everyone was telling us that most hikes and climbs get done in a day from Albuquerque and that overnight stay is severely limited by available water and no campgrounds in the Sandia.
Since paying for hotel in town did not suit us, we searched for ANY campground and found one, "Turquoise Trail Campground and RV Park in Cedar Crest
The distance from the campground to Sandia Crest is 14 miles and to the furthest TH we used, Piedra Lisa Spring Trail about 35 minutes driving. This Campground works well for out of state visitors or those who want to spent several days camping very near the Sandia Mountains.
We were very happy with the Campground's tent area and showers. Large grocery store is just minutes away, yet all of it in peaceful, rural setting. Recommended.