20,
> It's sitting atop a glass shelf inside an oak entertainment <
Being inside a cabinet doesn't help either.
> It's got rubber feet on it already <
I threw out my last turntable many years ago, so I'm not up on the latest ways to isolate them. The standard isolation material for loudspeakers is two inches of 705 rigid fiberglass, wrapped with fabric to keep the particles from getting into the air. Some types of acoustic foam may work well too, and be easier to find. You can even used dried out kitchen sponges, or an empty cardboard box. But before you buy anything or go to further trouble, there's a simple test you can do to see if coupling between the turntable base and the cabinet is the problem:
Play some music loudly until its on the verge of feedback. Then lift the turntable (carefully!) while it plays and see if the rumble goes away. If so, then you proved that decoupling will work.
--Ethan