I'd bring it in with me too.
Just leave it in the case and it will be fine. The air in the case is cold and dry and as it warms up its relative humidity will decrease.
You only get condensation on a cold gun when you expose it to the warm humid air in the house. They don't sweat in the case, the case doesn't even have to be air tight.
Proud member of the NRA and Texas State Rifle Association. Registered and active voter.