You might want to stick to the westside. If you do go over east try to blend in, look and act like a local. Start growing your mullett early (like now!) Camel, Marlboro Red and Pall Mall are the east side smokes. Anything menthol will give you away

Coors light, bush, bush light, and Coors original are all acceptable as well as keystone (that ones a secret though) find a Prius and flip it off, drive an old truck (Two or more tone preferably, I use a five tone ford) wear a WSU hat if you are going to ask for permission to hunt (get some dirt on it first, it can't look brand new) of you can't do all of the above and really up your odds for being successful on the east side then hang your head in shame, go down to the watering hole (the one in the center of town) and find a local gal on the heavy side (I mean large, like wow) and get her number (c'mon man! You know what iI'm talking about!) Buy her drinks, dinner, more drinks, dessert, more drinks then bam! Ask her if she's ever eaten a mule deer before. One thing leads to the next and your either in jail, beat-up or hunting private property. Just remember, this works better during archery season then modern season. If you think that there is a chance that you will eat a multi season tag remember this post and how your buddy elk247 taught you how to have a 33% chance of hunting private property mule deer.
P.S. ( works for white tailed deer also!) Good luck and happy hunting! Welcome to the forum.