I have an idea - we build the door to not only function as a door, but to unhinge and swivel down to become a conveyor. A handle pops out and we rotate the conveyor belt by hand (like that conveyor belt you add to the bed of your pickup to unload rocks, etc.).
Part of the conveyor belt is clear that you would position in front of the window when light is needed, or solid if you want to close out the light.
If we actually used the screen door for this function, the conveyor belt could be the integrated screen.
I did sleep in a Holiday Inn Express once! :)