From the research I've done: that area of Wyoming near Kaycee is great and chock full of antelope. The downside, most are on private land. Some will grant permission, but a lot want a fee.
I personally don't hunt east of the Big Horns for deer or Antelope. The best thing I've purchased for my out of state hunting has been the Wyoming GPS with private/public land ownership. Call a gamie for the area. Also, private property and wilderness is NOT marked on the ground (on GPS it will be) so you are responsible, in Wyoming, for knowing where you are.
I can give you advice based on what you want: quality, quantity or a bit of both...Are you looking at drawing yearly? Are you ok with every 3-4 or is max points ok? There are a few tags that are great for both deer and antelope.