The shelters are not unfriendly to pits; they just have a lot of them. Also the more rural shelters do not have the funds to keep animals for any length of time and do have to euthanize. As far as I know, the local humane societies are not no kill and do not always accept animals. The no kill shelters are full and do not have space.
Logan is rural New Mexico and one would probably have to travel to get a dog to a rescue or a larger shelter.
Here are some groups you could contact that might be able to help:
Responsibly Adopting Albuquerque Pit Bulls (RAAP)
Jennifer Concklin and Rena Distasio
(505) 281-4864 or (505) 265-9883
Handles questions about pit bull adoption, care, and ownership
Duke City American Pit Bull Terrier Club
3816 Pennsylvania NE, Albuquerque 87110
Maggie Amacker (505) firstname.lastname@example.org
The Babes and Bulliesbabesandbullies@gmail.comwww.babesandbullies.com
Spay, neuter, rescue serving Albuquerque and surrounding areas through community outreach, education and awareness. -try email, the website did not work for me