Try mass loading the player using the sandbag trick, varying the amount of sand / weight in the bag. As Sugarbrie mentioned, you can always put the sandbag inside of some type of ornamental cloth covering.
As far as the inntertube goes, try sticking it inside of an open top wooden box with cones underneath that box. You can then rest another piece of wood over the top of the innertube and the CD player will sit on top of this. By varying the weight in the sandbag and how much air is in the innertube, you are able to alter the resonant frequency and amount of energy transfer involved. None of this will look out of place and you can use whatever type of cloth and wood that will match your decor. Sean
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