Not really, sorry. You can save money on driving by catching an Uber to the Napa Tasting Barn, where there are three tasting rooms in the same place as well as a deli nearby.
You can easily while away the day there, then catch an Uber back to your hotel and avoid the cost of a driver waiting around.
If you just like tasting and don’t care about the winery vibes – likely because you’re looking for the best wine to take home – then go ahead and do your tastings in town where it’s walkable.