Terrible snow for a bike, terrible snow for skis, I'd put them both on groomes or off piste on corn, then it'd be fun!
How about a race down a corny slalom course with some sweet berms, that would be cool, I could totally see the biker crossing over turns like a pump track.!!
www.spiritmt.com/FAT-BIKING
www.youtube.com/watch?v=awm8wytQctU