Why not get a smaller tv, and carry it back and forth from your house to your cabin so it doesn't have to stay in the cold? They are very lightweight now, and it's nothing to carry even a 43" LED set back and forth.
I leave a 55" LCD in my tailgate trailer year round. It has been in there for at least 5 years. Still works fine. I wouldn't worry about it unless the cabin is somewhere that is going to have sustained sub zero temps for an extended period of time.