Here are the dates for trips that are planned already:

July 4-7: Trail system near Dinkey Creek/Shaver Lake

Trail difficulty ranges from easy to insane. Base camp will be 2WD accessible.

July 26: Camp WAMP (weekend 1) (NCCX-sponsored run)
August 2/3: Camp WAMP (weekend 2) (individually optional)
August 9: Camp WAMP (weekend 3) (individually optional)
Details at campwamp.org .

Another option for an easier (stock-friendly) trail run is Niagara Rim
Here's another photo link .

In years past, we have also visited the Feather River , which is about a 5-hour journey from the bay area to the campsite. Here are some more photos.