Wow. Through the floor and out the bottom? Don't think so. Looks like your limited to a vent less dryer. Not that great at drying and the drying times from what I have read are long. The close still end up a little damp. But otherwise, if the floor plan is what you want, then you maybe able set up a couple of rods to hang things on inside the washer room with a fan to finish drying. With a fan it would not take long. Everything is a compromise.