We have several spots at the Ranch and nearby for camping.
Up on the plateau is a good site for trailers, tent trailers, and possibly larger tents. It can get windy up there, so trailers are probably best. But sturdy tents should be fine also.
Down by the barn is a good spot for tents. Nice soft grass, and you will be near the food and the fun and the music. But since you are near the music, it might be a bit loud.
If all of that is too crowded, there is lots of space for camping up in the hayfields. The ground is a little uneven, but if you can deal with that the hayfield is great, and keeps getting increasingly popular.
For folks, and women in particular, headed up by themselves, look for the "Wild Women's Camp", usually in the hayfields right behind the cabin, which is intended to be a safe spot for single campers.
For those of you craving separation from the masses, there are several large BLM campsites just up the road from the Ranch. We are going to try to reserve these spots for use by families. Hopefully, families won't mind sharing the spots with each other--they are big spots. These campsites are be the best option for families who want to turn in at night a bit earlier--they're definitely quieter, and they are very nice --right in the trees by the river.
If none of this is working for you, there are also Forest Service paid camping spots along the Colorado River in Hot Sulpur Springs, less than two miles away.