The way Shabbatons work is that a group of Jews get together at a hotel for the weekend, and walk to a nearby Synagogue for services. They would pay for the hotel in advance.
One place I can think of off the top of my head for a shabbaton would be the Andrew Hotel in Great Neck, NY. The hotel is right across the street from the train station. And it has the glatt kosher Persian restaurant Colbeh, which is closed on Saturdays. I believe that on Shabbat, it's used as a makeshift Synagogue. They definitely have Yom Kippur services there. So it's quite possible they'll have Shabbat services too.