New Mexico is the only state that offers separate “mobility-impaired” seasons for antelope, elk & mule deer. You have to apply for a mobility-impaired card of course before you can enter the draw just like in other states, and you can apply in early spring, January to April. Deadlines are in April I believe, but check the NMGF site for all those details.
The special mobility-impaired seasons gives you the best opportunity for pronghorn & elk since they are held before the general rifle seasons.
I have hunted with two outfitters in New Mexico, both of which are very good and have experience guiding disabled hunters. Audrey & Roger McQueen of Trophy Ridge Outfitters & Brandon Gaudelli of All American Outfitters.