Congrats to your brother. What district did he originally apply for ???

It would seem to me that unlike deer or elk, which definately have certain trophy areas that are carefully managed and guarded by state regulation, Antelope, to me, seem to be more managed just for overall numbers per area. So you can find "wall hangers" in most of the huntable areas as long as your willing to put more effort into the hunt itself.

That said, I would look at a hike-in, camp out hunt possibly in the custer national forest (district 7, I believe).

Good luck.