You could subscribe to the Huntin' Fool magazine for a year. though you're kind of 'late' in the game for 2015, believe it or not. They do a western states roundup in December for the upcoming year. Their January edition usually covers Wyoming and Arizona, since our deadline is February 10 and WY starts 31 Jan for elk. They've probably mailed February's edition already which will include New Mexico. Maybe someone on here has an edition from previous years and though most of the info will be out of date it will kind of give you an idea of how to play the game. i'd imagine if I lived in WA I'd probably play Idaho, Montana, Wyoming, and maybe Nevada.
As it is I live in Arizona myself. So I buy here, Utah, new Mexico, Wyoming, and for some reason pass on Nevada. Not sure why though.
Wyoming is easiest in my experience, but I haven't looked into Idaho. In WY, $120 will buy you a deer, elk, and pronghorn point. So far i've chosen to pass on moose, sheep, etc.
Welcome to the rat race.