Mammoth is kinda do-able. (grrr, don't have my maps here) From SF we would need to either drive north of, or through Yosemite. Mr jo and I have driven north of, ending up in Bridgeport. I think it took a fair while - 6 hours? Then another hour to get to Mammoth. But there are lots of cool things to do there - Bodie, Mono Lake, etc
I need to check into this time share kind of thing my parents have, they can transfer it to me, but I think there's a limit on how many guests I can bring. It's in Sequioa National Forest, north of Kernville.