@Argo
Hmmm...in my experience, ceilings vibrate more than floors. This idea could exacerbate an already serious resonance situation. And what if people live above? Could lead to difficulties.
By all means try some fishing line, but make sure it's low tension/elastic grade. When I tried this with high tension line, the ceiling sounded like the Albert Hall.
So you see, physics needn't be boring! Good luck!
JaX