Not regulated by the USDA doesn't mean they aren't fit for consumption.   It just means they aren't regulated by the USDA.  Not a difficult problem to fix.  If we did that, there would be more horses, because ranchers would breed them and raised them for profit.

If they really believe the herd needs controlling, why not manage it like we do with deer, antelope, and elk, and issue an appropriate number of hunting licenses?