I think the heavier your drum tone, the harder it will hit the ground and it won't travel as far (heavier sound molecules and all!).
Seriously, sound is just a vibration of air molecules (there are no sound molecules!). It's a propagation of that vibration through the medium (air) that reaches your ears. In space, there is no medium, so while your drum head and shell will still vibrate, they won't have any medium to transfer that energy to, which is why you'd never hear it. At the other end of the spectrum, if you hit a drum under water where the water molecules are way closer together than air, that speed of the vibration transfer is much faster.
But if you want to do a little experiment, take any of your drums or cymbals, play them upside down and note the difference. If gravity were playing any role, then you should be able to hear a difference, right?
How come when you play in front of a mirror the reflected sound doesn't sound backwards?