Welcome to Permies, Brian!
To dehumidify, you need to input energy, so you can't really have a "passive" system in the way you can have passive solar. That said, there is a way to draw water out of room air if hook it up to a cooling loop that is regenerated by solar energy. If you were to construct an
Einstein refrigerator and pass room air over it, that is as passive a dehumidification method as I can think of because it has no moving parts. Einstein refrigerators have been manufactured using butane as the working fluid, which means that the cold side is less than 0C and you have the possibility of making ice. If you only want to cool air and/or pull the humidity out of it, you could use a different working fluid where the cold side is 10C and that would fine tune it for this application.
I've thought about this and have a working model half assembled, but it really isn't a hot area of research. There is some interest in using Einstein refrigerators in hot places, like Africa, but as refrigerators, not as air conditioning units. I've tried to keep current on any space cooling applications, but I've learned not to hold my breath for any new projects.