Armstrong State Park in Guerneville -- maybe 1.5 - 2 hours north of the city in Sonoma County.
Guerneville is great. The Redwood park is really amazing, and the town is off the beaten path so it's pretty accessible. Great food, low key accommodations, and it's at the bottom of the Russian River Valley, so the wine touring/tasting is terrific (esp. if you like Pinot).
Don't miss Boon eat + drink, or the taco truck in the Safeway parking lot.
Just check and make sure it's not during the Bear festival, when the town turns into something different than you may expect.