Ok this might be worth a try. An aquarium pump. Run a line thru the casket of the door, where it contacts the door casket use a hard tube or copper pipe, 1/4 inch or so, also supply a 1/4 inch vent thru the casket.
With the door being ajar, high temps and humdity mr compressor is working OT - limit air flow only to that which is needed.
OH BTW I do drink warm beer if ya need to dispose of it