Even if the weather holds and snow doesn't fall and stay, the chances of getting snow increase with each passing week, and in December you will have a real good chance of either showing up to a lot of snow already on the ground, or getting it while you're out there. I wouldn't even risk it unless you are comfortable navigating without obvious trail markers. That's not one of the trails flagged for winter use.
Late spring is a better time - the creeks will have water in them, the snow will be melting instead of accumulating, and there's less likelihood of icy granite.
A better winter destination would be Badger Pass - you can snowshoe or ski to Ostrander Ski Hut, or to Glacier Point, with or without a guide.