Turin is lovely. We went to Chamonix last year and the fares to Turin were so much better - £200 each return in CE in July.
I would say that Hamburg is well worth a visit. The lake has real elegance to it, interesting history as a major trading centre, there are more waterways than Amsterdam or Venice - there really is something for everybody. The fish market on a Sunday morning is a fun way either to finish a night out or start a day with live music, good hangover German food, and of course plenty of beer.