As bizarre as the weather may be, there's still fun to be had out on the trails, and the good news is that the frost bite risk will be very, very low.
Grooming is difficult when the snow is so warm, but if you wait a little bit after the thermometer goes above freezing, the snow softens, and there is still full coverage everywhere. Skating will be decent, and there are some classic tracks in places in the woods. Come expecting spring skiing, and you'll be pleased.
The snowshoe trails are also fun, covered, and clear. There is plenty of snow in the woods, and Lapham Brook is beautiful if you head down that way.