We really enjoyed our stay in Giovanna's apartment. It's situated just off Via Garibaldi, and is a bit off the "tourist route" with a very local feel. It's close to the Biennale Giardini and Arsenale, only a two minute walk either way. As Venice is a fairly small city nothing is more than a 20 minute walk away. The apartment is a tastefully refurbished loft. It has nice kitchen facilities, which was good for us as we stayed for a full week and made a fair bit of food back at the house.
Most importantly, Giovanna and Danilo are wonderful hosts, really easy to communicate with and always interested in how we were doing.
We would love to come back again!