Looks like a foot of new snow overnight in Mammoth with double that on the Sierra Crest. The wind and continued snow Saturday will make it difficult to get up on most peaks.
Inyo Craters is a good trek through the forest and out of the wind. Routefinding can be difficult if you don't know the area, but it is a good map/compass or GPS exercise. Obsidian Dome is another great place to visit in a storm.
If you don't have gear for skiing out to those spots, you could try hiking near Hot Creek or along the south shore of Mono Lake.