The west side of Baldy and the surrounding area is owned by the Sandia Pueblo of Albuquerque. They call it Bobcat Ranch. Willow Creek runs south-southwest from the southwest side of Baldy toward Eagle Nest (you can use the same link I posted above to find Willow). I don't know if Willow is on Bobcat Ranch, but even if it isn't, it looks to be on private property as well.
https://www.sandiapueblo.nsn.us/bobcat-ranch/
I've been wanting to prospect that whole area for years now, as I only live about an hour away, but it seems to be off limits. If you find out I'm mistaken, please let me know. -GM