It's nice having Mondays off... everyone else is at work and all the good driving roads are wide open. My road of choice is Mt. Hamilton Road (CA-130), east of San Jose, CA. It's a 4,000+ foot climb to the top, stretched over about 20 miles of tight twisties, and it's the highest point in the Bay Area. Caltrans just paved most of the upper section of the road, so its super smooth and great to drive on.
Over on the Peninsula, everyone knows about Alice's, the local driver/biker spot on Skyline Blvd. On this side of the bay, we have The Junction, which isn't nearly as well known. Continue another 30 minutes down the back side of Mt. Hamilton, and you'll end up in the middle of nowhere, literally, in San Antonio Valley. That's where you'll find The Junction, where CA-130 meets Mines Road from Livermore and Del Puerto Canyon Road from Patterson. It's at least 45 minutes from the nearest civilization. I highly recommended it if you have half a day to kill in the south/east Bay Area!