Imagine if Italy unites around Venice instead of Savoy. And Savoy has to be beat up by Venice and France ulteriorly.
I do not see why Savoy would have to go to war with Venice, or why France would have to be involved- assuming they get Lombardy Venice is a regional power roughly on par with Sardinia Piedmont, and much wealthier and probably more industrialized- the province was one of the wealthiest in the Austrian empire- and probably aligned with Britain, and a major naval power in the mediterranean a la the Dutch. They very well might gain colonies, at the least will be involved in the Great Game with the Ottomans (an alliance with Russia perhaps?).