You can actually orienteer (no quotation marks necessary) in Venice early in the morning before the streets get crowded. Gets a bit sporty to run during morning rush hour since many of the streets are barely wide enough for two people to walk past each other. Lots of O maps on WorldOfO (
example) and I highly recommend running some with an O map there, it is superduperawesomefun.
Also, good luck with that skiing thing.