If you're more interested in meat than headgear, you can buy OTC, Doe/Fawn tags after the drawing for around $50. It's one of the best value hunts in the country! I believe there is a limit of 3 per person.
I hunted units 88 & 89 in 2010 & came home with 2 nice fat does both shot at 75ish yards (simultaneously) with a .54 roundball & 90gn of FFg out of my GPR, Thumpy. Stalking through the sagebrush is extremely challenging, as is waiting for the wind to drop below 40 knotts! I'd advise wearing a ghillie suit to stand a half-decent chance for success on foot. You can also set up near fence crossings (Don't forget, antelope go under, not over!) or water. However, at least when I went in October, water was NOT a problem. Yeah, it rains. A lot!
Going late in the season, late September onward, you'll be in the midst of general rifle season, but if you can wait until October, Elk season is about to kick in & most folks are concentrating on the Wapiti, not the 'loopers.