Hi Steve,
I used to make a lot of pens out of Corian and I would polish them to a high gloss finish using the following process...first I would sand the pieces up to 400-grit sandpaper. Then I would use the BEALL Buffing system. The first part of the BEALL system uses a compound of Tripoli, next is the White Diamonds compound. For Corian I did not use the carnuba wax. The first two parts would produce an incredibly high gloss finish. Almost had the look of being covered in glass when I was done. If you have a lathe, the 3-wheel BEALL buffing system is really convenient.
Hope that helps.