I wouldn't suggest Burgundy in November. Town amenities will be mostly closed for the season and the weather will be cold.
Loire is a better pick, Provence even better for November.
Edit: Since we're expressing opinions on Beaune. It was my least favorite town in Burgundy. Many towns are very medieval and stone, surrounded by forests with a small river flowing through, absolutely idyllic. Each town seems to be more charming than the last. Beaune is 17-1800's style buildings and stucco (newer than my taste). Not awful but not really charming either. It's well maintained right around the tourist sights but becomes quite run down just a few blocks away (still inside the ring road). I prefer Dijon's center to Beaune. Rick used to recommend Dijon and switched to Beaune, presumably because Dijon is a bigger city. If you choose Beaune, make sure you get reservations for dinner. My experience was anything with decent food required reservations. If you can walk in without reservations, it's because you don't want to eat there. Easiest is to have your lodging call and book a table for you at a decent restaurant.
To be honest, my opinion of Beaune is colored by the hotel I booked there. It was close to the center but the room had no decoration and, worse, no hot water. I asked the owner about it and he shrugged (I thought I was in Italy). Of all my travels, it's one of the biggest disappointments (and one reason I avoid booking.com now).