ebbets pass from calaveras county goes over the sierras, i think it's hwy 4, also back there is monitor pass which connects over to the 395. You can only do those rides in the summer tho, the roads aren't plowed during the winter. We just went back aways over hwy 4 from the Tahoe side on snowmobiles a few weeks ago. Pretty insane how different it is from the winter to the summer.
Just be carefull on hwy 4, some stretchs are 1 lane only, you MUST watch out for cars!