throw a tarp or plastic drop cloth over the driver's door. Stick it to the roof with tape or magnets.
let the freezing rain stick to the cover. In the morning, just pull it off.
Turn the car around. put the passenger side to the wind.
In the morning, dump a bucket of warm water on the door. This will "shock" or crack the ice.
I was raised in Northern Iowa. Many times the cars were frozen shut. Multiple methods to easily open the car.