hey danda0624
as others have mentioned here, without a car is difficult to get to and you will need to schedule tasting.
as frank mentions, a small van tour is best. how long will you be in florence, are you willing to take a tour to the countryside and budget in euros? they are not that cheap as some people think, but you get the experience from someone that knows area, ride in a comfortable vehicle, "front row seats" to the place. ask your host/hostess at hotel you're staying at if they have a recommendation.
we took a wine tour to parts of tuscany, wanted to go somewhere and said no. they just do this circle, they get kickbacks from certain wineries and short time in villages/towns, you're on their time not yours.
withlocals.com/florence does a private chianti tour in a vintage fiat 500. under day trips
tuscan-wine-tours.com (signature tour super chianti). friends did this tour and loved it so much. they wanted to see the famous butcher of chianti, "dario" and it was everything they asked for and then some, plus lunch.
come&seeitaly.com click wine&food then florence and you'll find what they offer and what interests you and your wife.
there are tourist kiosk information booths in the plazas that will offer you all kinds of things to see and do. stop in and you can decide if you see something.
with the way covid-19 is now, some places are probably closed, check the cancellation policies, or wait till you are able to travel to europe or are there to make reservations. good luck and hoping you find something
aloha