Fern Gully at Majestic Meadows.
We stayed three nights at Majestic Meadows (Fern Gully). The campgrounds are spacious, clean, and quiet. The hosts were friendly and accessible via message. We did have some issues with finding the place via GPS, so just note that you might have to pull over and re-enter the address. It is right behind the fire station, which makes for a convenient landmark.
I would recommend the site for folks who are looking for a mellow and quiet place to camp.
Things to note:
1) The campsite is right behind a fire station, so you will occasionally hear sirens. This didn't bother us, and it wasn't constant.
2) If you're squeamish about outhouses, you might want to consider that this is a vault-type toilet. It is maintained, but on hotter days it may be odiferous.
3) If you're camping with kids, there are at least two decent playgrounds nearby. One is in downtown Orting (right across from an ice-cream shop). There's also one just outside Orting.
4) It looked like three out of four of the sites had a good amount of shade (I can say this is true for Fern Gully). The weather was pleasant while we were there, but Fern Gully has a slight slope, so you might want to be conscious of that while setting up your camp.