You can also girdle the trees in spring after they have leafed out. The leaves will pull out the moisture and the whole tree is off the ground. Give it a month or two or wait until fall to fell it.Cutting in the early winter accomplishes the same thing as the sap is in the roots that time of year. Wood also splits better when it's near zero degrees.
When I lived in Upper MI I tried to get most of my firewood cut in January and February if I was taking down live trees.