Fishwater,
Like you, I built a sand box with a floating lid to go under the TT. If you are setting the box on a shelf or other flat surface, I suggest you elevate each corner in order to minimize the box from absorbing any shelf resonances. A simple solution is to drive a small brass screw up into each corner of the box from underneath. Leave the entire head showing, and it will act as a small spike.
Like you, I built a sand box with a floating lid to go under the TT. If you are setting the box on a shelf or other flat surface, I suggest you elevate each corner in order to minimize the box from absorbing any shelf resonances. A simple solution is to drive a small brass screw up into each corner of the box from underneath. Leave the entire head showing, and it will act as a small spike.