NEW YORK, NY – The city of Rochester, located on the southern shore of Lake Ontario, is one of the most affordable summer destinations in the state of New York. NEW YORK, NY – The city of Rochester, located on the southern shore of Lake Ontario, is one of the most affordable summer destinations in the state of New York. That’s according to the latest survey conducted by NewYorkHotels.org. The survey specifically compared 20 popular New York destinations based on their cost of lodging. The months of July and August served as the comparative timeframe. In particular, the average rate for the cheapest available double room (rated at least 3 stars) was established for each destination.