I would suggest a trip to Venice. Although AA does not fly there directly, you can fly into Rome and then take a EuroStar Italia train (not expensive and very nice) into Venice. The trip is about 3-4 hours. A second plan would be to use AA's codeshare flight directly into the city. (American Airlines flight 6273)
There are quite a few Starwood properties in Venice, inluding the Danieli (excellent), Europa y Regina (not so excellent) and a few others.