Drove down the night before in order to go climbing the next day. Found a decent spot in a dry wash to put up the tent for the night. It worked and allowed quick access to the crag in the morning. Does start to get busy with climbers fairly early (8am or so). Would be perfect for somebody with a camper-van or teardrop.
Cool place. The spots with fire pits have been blocked off by private property signs. Camping definitely at your own risk, perfect for just a day trip.
10-15 down 60 west of Socorro you'll find "the box" climbing area. This is on BLM land, and there is no trash pick-up or other managed facilities here, so camping is at your own discretion and you MUST leave the area as you found it (or better). There is a vault toilet at the main parking lot as you drive in, and if you drive further up the road there is a small pull-off with a couple of simple fire-pits where you will likely find a couple other climbers camping. Please be responsible about your food, trash and making a fire. There is loads of good climbing in the area and it's a great place to set up camp for a few days, but don't ruin that privilege for everyone by mistreating the area. Follow pack-in, pack-out, LNT and common sense rules.