Clearly, you've never lived in a college high rise dormitory...You're missing the part where you clean your own room and traipse through the hotel hallways with a bag of trash, trying to find somewhere to put it.
The obvious answer is to just chuck the trash bag into the nearest open elevator and let someone else take care of it.
Note: Disney security would take a very dim view of this, especially if you were to set the bag on fire first.