Head past Enumclaw for deer and elk, but make sure you do not cross over into permit only GMU. Lots of walk-in areas around there. That is the closest to you I can think of off the top of my head.
Take BTKR's advice and study some maps. That will help you pin-point likely areas. Also continue to focus attention here with posts and advice and people will help you out.
Sorry you got jumped earlier, but it has been a common theme here to have guys ask for help right off, and then we never hear or see them again. We are a good community and will help out, but we expect the same of everyone else.
Good Luck