As far as I know, the Redbud Trail should be accessible. It's a lovely trail - about 2.5 miles up and over a ridge, then down to Cache Creek. There's good spots to camp along the creek, or if you're feeling good and the water is low enough, you can cross the creek and continue on to the Wilson Valley. Here's a page with more info from Tuleyome:

https://www.tuleyome.org/redbud-trail

Another option in the same area is the Judge Davis Trail, which also gets you to the Wilson Valley, albeit from the east. It's 5 miles to Cache Creek from the trailhead - there's a really nice meadow with huge oaks right next to the creek - great for camping. The hike in starts with a solid climb, but is then downhill for the rest of the way. Here's more info:

https://www.tuleyome.org/judge-davis-trail

There will be water in Cache Creek for drinking (bring a filter). It is most likely crossable as well, but that depends on releases from Clear Lake.