If hive beetles or similar are not a problem, you could wrap the log in several layers of foam wrap (package insulation) & duct tape it. That would keep the heat in from the bees, and the wind off. Moisture would be a problem if it was totally sealed though.
It should work like the polyethelene foam wrap that exposed water supplies are wrapped in to prevent freezing.
When we lived in the far north, we had an 8ft by 8ft by 4 ft (2.75m*2.75m*1.25m) plywood pumphouse jacketed in 3 inch rigid foam insulation. A single bulb kept it above freezing through -40c winters.