First off, where's "Beckwith?"
The "Campbell" Hot Springs have had thier name changed to "Sierra Hot Springs. These hot springs at Sierraville are developed, and currently run by a non-profit organization. You can check out thier webpage at http://www.sierrahotsprings.org. It's a great soak, and a very relaxed, rustic, and wonderful environment.
There's also a hot spring or two elsewhere in the same valley, but they're on private land and not accessible currently to the public. :-( Years ago, they were a free alternative to Campbell, or at times, a more secluded alternative to Campbell Hot Springs. Unfortunately, that is not the case anymore...