There's two major peninsulas - Olympic and Kitsap. No elk on Kitsap that I'm aware of.
Are you hunting for elk or deer? I would recommend that you look at he hunting success statistics on the WDFW website for each GMU around Oly for the species you're hunting, and then concentrate your efforts on those areas that had higher success rates. Then again, you could just go up in the Capitol Forest and wing it.