If you like country side, then obviously Tuscany and Florence will be your best bet. I would recommend staying at the Davanzati Hotel in Florence. *Amazing* Family owned B&B and free champagne during their happy hour (6pm-10pm every night). It's fantastic.
Just an FYI, you are going during their rainy and cold season. I did 12-13 days throughout Italy (literally throughout) and it was very cold. Don't bother going to Naples and Capri. Capri and Amalfi Coast are closed during this season. Napoli is batshit crazy.
Would recommend as well to check out Taormina in Sicily. Beautiful. Absolutely beautiful.