We stayed in San Gimignano for 2 nights. The Palazzo al Torrione2 is a separate building on a quiet street. To check in you need to go to a nearby hotel. The room was clean, with air conditioning and nice shower room.
The wifi did not work at the property. I asked the staff at the desk, and she said that the wifi had not been working for a while, but did not say when it was going to be fixed. This was frustrating because internet access is difficult in Tuscany, especially in the higher/remote towns/villages.
One plus was access to a hotel with a pool 5 minute drive out of town, worth a visit for a day, nice views of San Gimignano.