If you're looking to meet some other long-range shooters in Washington, consider shooting some prone matches. You can shoot F-class off a rest or bipod, or sling up and shoot conventional prone, even with a scope. Washington is an amazing hotbed of NRA Highpower and prone competition with a surprising number of ranges scattered around the state.
My home range is the North Central Washington gun club where we have a 600 yard target range and some sort of practice or match most months. I've also shot at Rattlesnake, which is a 1000 yard range in the Tri-Cities area, as well as at Paul Bunyan range, Machias near Lake Stevens and at the Plantation range near Bellingham.
For more info on these ranges check the Washington State Rifle and Pistol Association web page. The 2008 schedules aren't up yet, but will be posted, probably pretty soon. Home
There are also some far less formal "tactical" type matches aruond the state. We're holding one at the end of March in Wenatchee. It will be the 7th or 8th year in a row we've held the match. Lots of fun. This year it's a two-day affair, but you can shoot either Saturday, Sunday or both, it doesn't matter.
For more info on that match, and others in the Pacific Northwest, and on the West Coast in general, take a look at West Coast Tactical
A bunch of good guys there who love to shoot! We just had a 600 yard "practice" and a mini-match at Wenatchee and will be having another one in February.
A shot of me on the firing line earlier this month. We had to shovel about a foot of snow to get down to the concrete pad, but the shooting was great!
The shooting community in the Pacific Northwest is pretty darned welcoming to new shooters, and there are a lot of shooting opportunities. You'd be amazed at the skill and credentials of some of the regulars on the firing lines at matches around the state.