We will arrive on a Sunday and we leave on a Tuesday afternoon. Want to get as much in as possible.

There are SO many - I just don't know what I can get in - between the wineries, recommendations to go to the culinary institute and Copia, then cave tours and wine tours and gondala rides at Sterling - how much will I be able to do?

We're renting a car.
Some of the wineries I want to see are:
V. Sattui
Mondavi
Sterling
Havvis
Del Dotto
Peju
Cake BRead
NIckel and Nickel
Rutherfod Hill
Far Niente
Frogs Leap
Domain Chandon
Stags Leap
Silver Oak
Franks FAmily

Any info and help would be appreciated ;)