Gila Wilderness and Gila National Forest. Recommendations : overlanding

So I will be spending the New Years in the Gila New Mexico area. I will be spending two nights at the Gila Hotsprings campground. Would love some points of interest to check out as well as a nice area to disperse camp for a couple nights.

So far I plan to check out Mogollon, the Gila Cave Dwellings, and May disperse camp near the Cosmic Campground.

Thanks in advance!