Close to Crater Lake
Free camping after April 30th. Permits are required otherwise. It's a big open parking lot with two fire pit areas and the snow hut with a wood stove in there. You can also go down to the lower lot area, which is a pretty steep and bumpy road maybe 100 yards long. Below there are a few other camp sites close to the river. Wouldn't take an RV down there even though there is space to turn around.
This is as close to the NP as you can get without being in a formal campground, which aren't open until summer season.
Our first night there were 4 other groups camping and our second night we were the only ones.