Wyoming is a long haul from OK. Let me start by saying how important it is to hunt the same "neck of the woods". You become more familiar with, and therefore better at, hunting your particular species.

That said, closer areas I would recommend would be #47 north of Medicine Bow. Close to decent motel, LOTS of public lands, lots of goats, long time greatreputation in the "Shirley Basin" area.

But the nonresident drawing deadline was Jan 31st!
THIS IS NOT TRUE!
My bad! Nonresident's have 'till Mar 15th to apply for Antelope.