Interesting question which doesn't come up often. I know nothing about fishing for pike, but stayed beside Lake Winnipesaukee, NH once on a ski trip and enjoyed seeing ice fisherman going out to the middle of the lake to ice fish in the mornings. I X-C skied out towards them one day on the frozen surface. But I don't think it has pike. I found this article that discusses pike fishing in VT: http://www.nesportsman.com/articles/article236.shtml
Here’s what it says about VT: When safe ice conditions exist, the following Vermont waters are a good bet for catching nice pike through the ice: Lake Champlain (Kelley Bay, Missisquoi Bay, Dillenbeck Bay, Carry Bay, St. Albans Bay, Mallets Bay, Larabees Point, Singing Ceders, Lapans Bay, Benson Landing, and Dresden Narrows), Lake Bomoseen, Lake St. Catherine, Lake Hortonia, Glen Lake, Lake Carmi, and Norton Pond. Of those lakes it looks like some spots close to skiing are: Norton Pond 40 mins to Burke Mtn, Lake Carmi one hour to Jay Peak, Glen Lake and Lake Bomoseen about 55-50 mins to Killington. Champlain is huge, but not so close to bigger VT ski areas. Maybe you can find out if the NY shore over by Whiteface has pike? Lower Saranac Lake is 40 mins from Whiteface and supposed to have pike. Check out Moore Reservoir in NH, supposed to have pike. It's about 35-40 mins from Cannon Mtn and Bretton Woods ski areas. There are ski areas all over New England. It seems like pike fishing is less ubiquitous. I guess I would identify a few of the most likely places you'd want to stay for fishing and then use google maps to find which are near ski areas you think you want to ski.