this is so late reply. but i experience wagon \+ snow = bad. i had wagon last year and it has big wheels, but not big enough for sidewalks, esp. trips to bus stop which the is not plowed by 8:30am.
what works for me are jogging strollers. If its close like 3 minute walk, a double can work then put the 3rd one in the middle. Did it with my BOB Revolution Duallie, when my son was a year old. His sister just hold him.
Over snow, Runabout strollers are the best.