We found the short term place to stay only today. I can not tell you how happy I am (even though the place is near airport) as I thought we'll end up under the bridge. Either there is no availability or too expensive. Try these, although almost all of them are from 2300 francs a month (for 2 people). Not all of them got back to us, and the ones who did didn't have anything available.
Aparthotel Rigiblick Emma House PABS Sleep in Zurich Vision City Appartments California House Accademia Swiss Star Lodge finder This will be useful too
Housing links WhiteBoard Craiglist