Most of that area is private. Look on the game and fish website and see if there is any walk in areas there. Those maps also show the state and blm land.

Antelope area 24 and the area right to the east of it is in the Thunder basin National Grasslands and has pretty good odds in drawing for out of state hunters. I do not remember what deer area it is but I am pretty sure they are both Oct 1st start dates. I could be wrong though. If they are get the Thunder Basin National Grasslands map.

However for deer you will just draw for the region for out of state so you will be able to hunt 5 or more areas over in that area.