The Confederated Salish and Kootenai Tribes (CSKT) in Western Montana have done just that. Within their Flathead Indian Reservation is the "Bison Range." The 1855 Hellgate Treaty ceded the reservation land to the tribes, but in 1908, the federal government took back 18,000 acres for the "Bison Range" as part of the then-new National Wildlife Refuge System.
This year there was a major change: the land is still owned by the U.S. federal government, but, instead of being owned by the United States as part of the National Wildlife Refuge System, it is now owned by the U.S. in trust for the Tribes. The 2022 change removed the land from the National Wildlife Refuge System and the tribes now manage the bison herd and the Range.
Here's the connection to the Grand Canyon story. Near the Bison Range, the tribes have put up place signs in the Indian language. Below the Indian name is the English translation of the Indian name and sometimes the old white man name for the place. The Indian name are great and descriptive like:



My favorite is:

US Fish & Wildlife site: National Bison Range
CSKT site: Bison Range Restoration

Those names make sense. I assume they’re on Indian land. Lot’s of “offensive” names in Arizona. Dead man’s this, Devil’s that. Funny what offends people.