When I go out there this time of year, I like to stay at the Mora Camp Ground. It's part of the Olympic National Park and is a real nice campground. $10.00 per night. Take LaPush Road off 101 and take a right at Three Rivers Lodge. (You can camp at Three Rivers, if you prefer. It has showers and a nice cafe, as well as a general store.) Mora is just a few miles down the road. I think there are several other campgrounds on 101 coming into Forks from Port Angeles, (Tumbling Rapids???), but I don't have any experience with them.
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Tad