Greetings. Schaffhausen is a lovely place.
I take it you've visited all the local attractions, but in case not:
-The Rheinfall is always worth a trip -
http://www.rheinfall.ch/
-Climbing the stairs to the Munot to get a good view over Schaffhausen -
http://www.munot.ch/
It's not a long train journey to go to Zurich, either direct (1 hour) or changing at Winterthur (40mins) and you are open to a world of other stuff to do (including meeting other people from here - can't comment on that as I've not tried it yet!).