Why not just let it up in a not finished hole? Of course it depend of how many icethick you have!
I'm now try to make something like an auger with both old eskimo 5'' drill and a 3.5hp tecumseh 4 stroke(mower motor) that nobody want, and just for fun, try to make something with that! Found that those motors can run below 0°, just have to put synthetic or 5w30! Of course it's gonna be direct drive, but if it's working, it is better that put them in the trash!
I got enought ice here(around 20-30'') to let it up in a dry hole!