Ichtyoid
It has probably been twenty years or more since I was there but lake Ozette is in Olympic National Park and would probably be a nice place to take your family, there is a small campground and boat launch there, there is also a major trail head out to the ocean beaches, I didn't fish while I was there so I cant comment on the fishing but there are special regs imposed by the National Park Service so you might want to check the park service regs.

http://www.nps.gov/olym/regs/fishregslakes.htm

One interesting side note, when I was there there was a fish wier(sp) across the Ozette river at the its outlet from the lake, after dark every night a bioligist would go down and set up a light and stay there and count Sockeye salmon all night, we would hike out to the beach during the day and when we would cross the river you couldn't see a fish anywhere but go back after dark and you could watch fish moving through the trap,the biolgist told us that the run was between eight hundred and two thousand fish a year and that they didn't move at all during the day.