I recommend unit 23 near Gillette, Wyoming. In the past -- and I assume continuing at present -- this was a 100% draw for non-residents. There are more tags than tag purchasors in this unit. Why? Because there are very very many pronghorn antelope in this unit. You can callt he field office of the Wyoming Department of Wildlife (or whatever name they use) in Buffalo, Wyoming, to get a list of land owners who will allow you to hunt their properties for a modest fee. Call several landowners and find out what suits your purposes. There is quite a range of prices and situations you can find in this way. Alternatively, you can find out about "walk-in" areas that the state of Wyoming sets up with land-owners. You could also try to hunt in unit 24 that, I think, contains some of the Thunder Basin National Grassland, which is a large public hunting area. If you go down this road, get the appropriate Bureau of Land Management (BLM) maps to identify and distinguish between private lands and public lands. Note that you are not supposed to drive over roads on private lands unless they are maintained by the state.

This may sound complicated, but really it is not. Just start taking one step at a time. Note that the pronghorn in unit 23 and unit 24 are not big, but by the same token you can get drawn this year and you can expect to take a pronghorn. It is a lot of fun. Go for it.