I'm more of an eastern Nebraska hunter so my only recommendation is to post something on the Nebraska Game & Parks Forum and see what the local bowhunters say for the out west hunting.

Yes our archery deer permits are unlimited and for the whole state (not zone specific) so you can just pick one up on your way out into the woods. You can also purchase them online over the internet.

Below is the link:
http://www.ngpc.state.ne.us/homepage.html