night train from Basel (or plane from Zurich) to Copenhagen

We will be in Zurich at the end of May 2011 and would like to take a night train from Switzerland to Copenhagen. From searching online it looks like the night train from Basel to Copenhagen We are in the beginning plans of our trip and deciding if it would be better to train at night when we wouldn't be doing anything but sleeping anyways or should we take a plane. Has anyone done either and have any advice? We are a family of 5.

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