Winter snow and ice conditions,are one of the toughest things about late season canine trapping.You can chop out a trap bed and use dry dirt(this usually requires pre planning,and gathering and storing dirt in the summer months)Peat moss can also be used for a trap bed(bedding with peat moss is kind of tough,make your trap bed just big enough for your trap to fit into).Any set this time of year requires a lot of work,efficiency is also much lower than in your snow and ice free times of the season.
More and more people are getting into using snares and cable restraints for winter canines.Also,with the rapid increase in the coyote population,and the problems they cause,snare states and zones are increasing.Minnesota has expanded the use of snares,if you decide to give them a try--be sure to read over the regulations.
Tom