Well you would be surprised with the door cracked and a good fan right by the crack how much air you can pull in there.
Had an idea. Is this a sliding door or a door that swings open?
If it opens and shuts like a regular door there might be a solution after all. But it does involve a little cutting into the wall.
In my house everything is sealed so tight that there is a small register like vent above my door. Like a floor register cover but more narrow. This vent allows air movement even when my door is closed.
When installed this looks like a professional job and part of the home decor.
BK-1CB Ceiling Diffuser
Functions: Ventilation, dispel heat.
Use: For floor, ceiling, wall, sidewall, door, air conditioner application
Features:
1) For ceiling or sidewall application
2) All steel construction
3) One piece stamped face and 1" curved blade lanced
5) One way deflection
6) White powder-coating finish
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