Remember the old addage, "Expose for the shadows, develop for the highlights?"
When you push process film (in other words overdevelop it) you add density to the highlights. This is not proportional across the density range of the film so you will end up with contrast negs that propably still don't have much shadow detail.
If you shoot with a film that is rated for 3200 ISO, or a film like T-Max P3200 professional that was specifically made for over processing, you will get a better scaled negative.
Another thing that helps in these situations is using larger film. If grain reduction is your goal, 120 is always a good way to go. I use a Pentax 67 which is expensive but a Mamiya C330 or some other TLR can be had for less money and works great for shooting in clubs and crowds.