[Elgin Clock]

I would use the model in CAD as a starting point. Then make a model of the stand (I'm assuming a display stand?) from the dimensions in CAD. Then, if your rapid prototype machine alows for it, upload both model and stand (if it fits in the bed of the machine) and make them both at the same time.
edit: My reasoning behind this, is depending how intricate the thing is you want displayed, if you print both the stand and the model at the same time, you will more than likely have the same percentage of "shrink" effect on both of them. No worrying about the shrinking of the stand after you measured the part to an exact measurement and it not fitting.

It would help to know what kind of Rapid Prototyping machine you were using.

The one I have experience with is a "cheap" line from Z-Corp and it uses glucose and starch to make the model. Depending on how big you want your model and display stand, you can "print" them both at the same time, just leave space between the two, so it doesn't adhere them together when making them in the RP machine.

Hope that helps..