There are very strict rules for ranchers who lease BLM sections, for instance they can’t fence or grade roads without written permission. Also rancher’s craze land only a few months each year then it is rested so grass can grow for next year. They also can’t cut trees or clear land without permission.
Many ranchers do allow hunters to access BLM and even parts of their ranch for hunting. Some also charge fees for big game but usually free to shoot prairie dogs. I’ve hunted out west for 45 years and have always hunted private and BLM land on many different ranches. It’s not always easy as ranches change owners and open or close based on new owners preference.
Building relationships is the key, offering to help goes a long ways.
Wayne