You could put a small compressor outside and connect a well-insulated hose to pump the refrigerant inside, just like a split system air conditioner. Then the noise in your bedroom will be no worse than the occasional hum of a fridge in the other room.
As someone who lives in a humid climate, I wouldn't even think of using an evaporative cooler anywhere in my home, for any purpose, period. It's either compressors or nothing.
