Sadly, there's probably little you can do other than divert some of the power to warming the batteries. Most really cold-weather kit does it that way - military, vehicles, movie industry, etc.
You might use a bigger battery compartment, well insulated, with a reasonably high value resistor in it as a small heater, possibly with some sort of frost-stat circuit. Can you get bell wire to it from an outbuilding? Any protection from the elements you can give the batteries will help enormously.
There's no easy fix though. I was reminded of this watching an excellent BBC programme on the two NASA Voyager probes a few nights ago. They have a small nuclear power source, but even that isn't enough to work in the cold of interstellar space. Both Voyagers are still functioning, thirty-five years post-launch, but the mission controllers are having to shut down modules permanently, one after another, in order to preserve power for remaining systems.
Happily yours isn't quite as intractable a problem.
E.