The Mammoth Lakes Basin was hit with strong winds recently and there are 300-400 downed trees or trees ready to fall. The area is restricted at this time and might still be dangerous in places in late January.

http://www.fs.usda.gov/alerts/inyo/alerts-notices/?aid=9860

Other suggestions for snowshoeing in the area, besides those mentioned above, are Lundy Canyon near Mono Lake, about 4 miles to the lakes, mostly on the access road. Also the Viginia Lakes, about 5-6 miles on the road to the lakes at higher elevation about 9,000ft with wind exposure but nice views along the way.

We'll be in Mammoth for Christmas. I expect to do a snowshoe hike one of the days, assuming we get some snow by then. I'll report back if I have any new info or suggestions.