This was my initial thought. However, being that is snow/cold times and is my wife's car we are taking for the long drive. I wanted to ask....If you look at the sidewall of the tire it says max pressure 51psi so 37 psi will be fine. I will typically put 37psi in my tires for long vacation trips to get better mileage and during winter so my tire pressure sensors don't go off as lower temps drops the psi in your tires.
But the softer the tire the more likely that pothole edge will get to the wheel itself. Not that 1 PSI will make any difference. Life is a series of trade-offs.The rough calculation is that tire pressure drops 1 psi for every 10 degrees of temperature drop.
If you "air up" when it's 50 degrees, you might want to check them when it gets zero or below. I know, that's the last thing you want to do on a balmy -5 degree day. Cheer up. You'll have one heck of a contact patch if you just ignore it.