There were days when I used Philips DVD player as my CD Transport. A simple tweak changed the sound completely. I placed a very heavy granite slab on it. It passed DBT with flying colors and, after that, I couldn't able to enjoy it any more without the slab on it.
I think the key is to place something(like granite slab) on it that runs across the edges of the player and then place the Amp on it. This will distribute the pressure and will not tap the upper cover of the player near the transport mechanism.