I don't camp much around Tahoe, I'm usually further South and there is lots of great stuff around Yosemite without the crowds of the Valley.
Hetch Hetchy has great photo ops, but no camping at the reservoir. Nearby is Diamond O campground on Evergreen Rd ( about 5mi off Hwy 120 ). Great little campground with easy access to both Yosemite & Hetch Hetchy.
Another favorite is Cherry Lake. Great camping. Excellent hiking opportunities to Kibbie Lake or around Lake Eleanor.
I also really like Lake Thomas Edison. Kaiser Pass is open. Beautiful Sierra scenery and Vermillion Valley resort runs a Ferry service across the lake and your right at Mono Hot springs for a soak in the waters. Probably gonna be too cold to dip in any lake or river.
I'll 2nd Silver & Caples are also very nice.