http://www.sportsmans-club.org/ Gig Harbor
http://www.bremertontrapandskeet.com/ Bremerton
http://www.pscnet.net/ Poulsbo
Here are 3 clubs that are in the area you are talking about. I'm sure you will be able to find a place to shoot. All have public shooting days. For more info go to www.shootpita.com.
Continental shooting is somewhat like bunker trap with only 1 trap being used. Targets are set wider, About 3 feet left of post one and 3 right of post 5. Speed is 50 mph and the vertical is on so you get a variety of target heights. You also get 2 shots at each target. It's shot from the 17 yard line. There is a Continental winter league that starts in January.
Have Fun,
OtH