What kind of floor construction do you see over your head? Is it wood beams and sublfoor? Steel joists and steel deck? Kind of hard to make a recommendation without knowing that.
Post back some more detail. What do you see when look up in the bedroom? Steel deck? Wood? Concrete?
My first thought is do what we do: run a cold formed sheet metal grid system, hung from wire and supported off the walls on the ends, to make a frame for sheet rock. Then hang sheet rock on the underside, then get some insulation up there (this works only when you have access, like via an access panel. That should deaden the sound. We build clean rooms this way. That works well in 16 foot ceilings when you're trying to deaden sound. Tried and true method. If you've only got 13 foot ceilings, you might be crowding out the space, though.
Here's one system (although a few more companies make them):
take a look