There was a separate veteran hunt with a draw in June. However, they changed that a season or so ago to put the veteran draw in March. They also added a senior hunt 70 or older. Some of the hunt dates coincide with elk hunts. There is an active duty military hunt on Mcgregor range around Fort Bliss. There is a walking disabilities hunt but no disabled vet hunts. There is a cold chance in hell that any resident would be drawn in a lifetime. But I guess somebody always wins the super lotto.
My buddy at work drew oryx last year on the missile range. He tagged out but said it was kind of a strange hunt because of the access rules. So you never know; people get lucky every year.