"It's not the altitude, it's the attitude " - Scott Fischer , Everest (2015)
There are only few Winter Treks (December-January) in India and it can be counted using fingers. Kedarkantha , Chandrashila Sandakphu , Brahmatal and Nag Tibba. Among these you get guranteed snow in Kedarkantha through out this period.
Kedarkantha being 12506 feet is not that high according to Himalayan Trekking standards , if you convert it in meters then it is just 3850 meters. People tend to mention in feet because it helps in bragging , " I climbed 12506 feet", even i will do the same . Moreover Kedarkantha is a great trekking destination to get yourself ready for other high altitude treks like Roopkund , Goechha La, Chadar etc. This trek falls in the Moderate range , but during winters the entire trek is through snow , there is continuous ascend and mercury drops to sub zero levels - and that makes this trek a worthy adventure . It is also one of the shortest treks as total distance covered is only 20 kms in 4 days.
As mentioned by IndiaHikes , Top 5 reasons to do the Kedarkantha Trek in Winter :-
Snow till April - Prettiest Campsites - Best Drive in the Himalayas - The pleasure of walking on a carpet of brown leaves - Snow peaks all around