My personal Card-Jitsu Snow strategy is simple. Teamwork!
I love the fact the three ninjas are supposed to work together as a team. What I usually like to do, is have the Water Ninja go right up and attack the strongest opponents, while the Snow Ninja remains a little further back, attacking when possible, but watching out for the other teammates and healing when needed. The Fire Ninja, either attacks, or helps revive the other teammates when they have fallen.