1st Time to Napa/Sonoma

[Zinner]

California's "Wine Country" extends far beyond Napa/Sonoma these days, so you can taste to your hearts content all the way from Mendocino to San Diego, if you like. There's lots of wine country below San Francisco too.

For just a short time in the Napa/Sonoma area though, considering the varietals you've picked, perhaps Dry Creek Valley would offer some of what you've asked about.
People tend to associate it with Zinfandel, but there's quite a diversity there. And at a time when some of the California wineries are giving up on Sangiovese (main grape of Chianti), it seems to be going strong in Dry Creek.

Seghesio, Unti, J. Pedroncelli and Lago di Merlo wineries all produce Sangiovese and several do Barbera as well as a bunch of other things you might enjoy tasting, if you want to be open to other experiences. For a sweeter white, there's some Moscato at Teldeschi and at Preston. Preston is an interesting place to go anyhow, since they have hearth baked breads from their own ovens and olives and olive oils and organic produce in season.

You might have a good time at some of the wineries whether or not they have exactly the wines you're looking for. Ferrari-Carrano has lovely gardens (local monks meditate there), Raymond Burr has greenhouses with orchids, Yoakim Bridge has a yummy Zinfandel sauce, Bella has caves in the hillside. There's a web site at wdcv.com for wineries of Dry Creek valley.

And Healdsburg has plenty of good places to eat. If you're interested, I could look through my notes and give you more info.