Which area did you draw?
You planning on an over the counter tag?

Moving on . . . Are you aware of public lands in those areas? For instance, you can legally hunt on BLM (yellow), state (blue), and green (USFS - Nat'l Forest). Go to:
http://gf.state.wy.us/wildlife/access/plpw/huntingwalk/converse/converse2.asp
You'll see the different colored areas. The white areas are private lands. This is part of a link in the G&F site that describes Walk-In areas. Private lands that owners allow public hunting on.
Also, try contacting the Douglas Chamber of commerse because I know they used to, and still may, provide a pamphlet that lists local land oners that allow hunting on their property. They may charge a "trespassing fee" or nothing at all. Antelope are so prevelant that you may be able to drive up to the first farm house you see and get permission. Landowners get money back From the G&F for each animal taken on their property. ($13.00 for lopes).
Contact the G&F and find out the local game warden. Joe somebody. He might be helpful in locating prime areas for trophy's and/or landowners.
As far as camping, you can camp in any BLM property and USFS, but not in state lands. They don't allow camping. Staying in Douglas at a camp ground would be close enough to your hunt area(s) too. Antelope are out there all day, so crack of dawn/sit 'till dusk white tail tactics are of no significant benefit.

Best advice; practice long range shooting. Zero in at 200 yards and practice out to 400. What are you shooting?
Sounds unbelievable I know, but it is a key part of hunting the praroes for lopes. You need to know your ballistics and windage for your round. A good range finder is critical to long range ethical success. Bring comfortable shoes. I use a shoe much like a tennis shoe. You can put on some miles chasing them.