The Gillette area has huge numbers of permits.. At one time, the G & F had a place set up to help hunters find a place to hunt.. If you want to go this year, I would suggest calling the G & F offices in Gillette or Casper and see what they have to offer..
My brother-in-law just moved to Gillette a year ago. Has made lots of friends. Guess I ought to see if any of them are nice enough to let a foreigner from Arizona hunt on their land.