I think it'd be incredibly expensive and questionably comfortable. I stayed in an uninsulated cabin a few years ago with just a (steel) wood stove for heat, and it was not cool at all—3 sides were cool/cold and 1 was on fire.
If you had baseboard heaters and could insulated the floor somehow, it might not be quite as bad, but it sure will be expensive to battle, what, a 45° temp differential (22° - 67°)? Average temp in January in Wolfeboro is 32° high, 12° low.
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