I have a Falcon guidebook that has some amazing-looking loops in it, (written before all those fires.) There's also a backpacker map, I don't have it handy, that shows loops. Can't remember the publisher's name, but I bought it at REI. I just never got around to doing more than that one loop I mentioned. Living in the White Mtns. back then, I had plenty there to explore, and could usually do only one- or two-night backpacks, or day hikes, due to onerous job. So, that's my excuse. Lived nearby, didn't go to the Gila much. You're putting ideas in my head, because I do have time this summer. Was going to go to the Sierras, but the Gila is closer. Let us know what you come up with. I do know that @Jim_H
did a nice one a few years ago. Maybe he'll chime in.