I ended up staying at Jackson Kimball State Park.
It is at the headwaters of the Wood River.
Coming from K-Falls on 62 it is about 4.5 miles off the road and just S of Fort Klamath. However heading out take the other road Dixon Road and it cuts 12 miles off the drive to Crater Lake.
Primitive Camping no water but clean toliets. $10 fee.
Funny echo effect of nearby cattle. All the Campgroungs were closed at Crater Lake and this was a fine place to stay.
There were a few other campers on Friday night but noone when we returned on Sunday.
It was just what we were looking for.
Thanks for the help.