My basement shower exhaust fan was vented into the area above the suspended ceiling. I want to vent it outdoors, the way it should have been done the first time. The shortest way out is through the rim joist about 2 feet away. I can't go through the one floor joist in my way to get there. Is the better solution to drop the ceiling in the shower area enough to allow the fan exhaust to go under the floor joist and out the rim joist?