Then I heard about the Prada outlet.
It's located in Montevarchi, in Tuscany, so I orchestrated a little side trip a bit north. Arezzo looked to be a good base in the area and I found many hotel options, settling on Badia di Pomaio. I am so glad we made this excursion out of Rome. What we saw of Tuscany was amazing, and Badia di Pomaio is an absolute gem. This former abbey (1645) is located up a hill off of a very (possibly slightly scary to some) windy road. The views of the landscape and the grounds were gorgeous, our rooms (Rosa and Narcisco) were lovely, and the staff was absolutely delightful and truly made our stay an amazing experience. We had supper outside in the courtyard twice and it was wonderful. Our children really enjoyed the pool. It was not a bad drive to the Prada outlet, either (up next).
Here are some pics: