I think the only campground close to the springs at all is Jerry Johnson and it isn't much. It was far and away the worst campground we stayed at on the entire TransAmerica. They cut all the trees and hadn't mowed in ages. In the entire camp we found only one flat non rocky spot big enough for our 4 man tent. The only other folks there camped on an asphalt drive rather than any of the actual tent sites.
The springs were up the grade a way and then maybe a mile hike. They were wonderful, but it depends on the creek level. If the creek is too high they are washed out, but if they aren't washed out the springs are a do not miss. It was a great way to spent the morning my birthday. Birthdays don't get much better than soaking in a wild hot spring in the middle of a long tour.