You are in luck.
https://www.posarellivillas.com/italy/tuscany/cavriglia/2269
Took this luxury villa for last week of September 2018.
At the time we were able to deal directly with the adult children of the owner. A really nice, affable man whom I believe has since died. Looks like it is now being managed by a luxury group.
Conversational Italian would be advisable.
We were 9 Adults and 5 children
Hope you have the monies to fulfil your tastes.
My wife wanted me to buy it. Understandably the owner and children were not interested in selling. She found another in Santo Due, Umbria. Got that one instead.
Regards
Ron
Addendum
Found this advert by the owners
https://www.rentbyowner.com/property/stunning-private-villa-with-a-c-private-pool-wifi-hot-tub-tv-patio-panoramic-view-parking/HA-6118735590