Sure, Washington State has a very active group of rifle competitors.
For NRA highpower & F-class matches you'll find a great schedule at the Washington State Rifle & Pistol Association web site. Note that at this time of year, the 2008 schedule is concluded, and the 2009 schedule is not yet likely to be firmed up. Here's a link to their web site:
I live in Wenatchee and normally just shoot here at our 600 yard range. There is a good, but windy, 1000 yard range near Tri-Cities (Rattlesnake). I've also shot at Paul Bunyan range, the 300 yard range up near Bellingham called "Plantation" and of course at the Machias 500 yard range. There are some truly top-level competitors here in both conventional prone and F-Class matches including members and former members of the U.S. Palma team.
There used to be some 1000 yard matches at Fort Lewis, but that pretty well ended after 9/11 when the military got just a tad busy with other things.
There are also a number of "tactical" or "practical" competitions around the state and the Pacific Northwest. These matches are held at less regular intervals than the NRA matches. Best place I know of to learn of upcoming tactical/practical matches is at West Coast Tactical web site:
West Coast Tactical
Every spring we hold a "tactical" type match here at the Wenatchee range. It's usually a real hoot! There is also a traveling West Coast Tactical match that moves around from range to range year after year. Generally a lot of fun. Sometimes Idaho holds a State Sniper Championship, and I've shot that at the Blacks Creek Range outside of Boise.
There are also matches every summer in Chilliwack British Columbia. It's not all that difficult to take a rifle into Canada for a match - just get your paperwork done ahead of time.
So - lots of F-class (supported prone) matches up and down Washington State, and sporadic tactical/practical matches as well.
I don't know a thing about the local benchrest matches, except that they exist.
Feel free to contact me for more info - I'm always trying to build match attendance and help get new shooters into competition!