My family and I are used to renting a beach house on the Jersey shore, but the inventory is not there this summer. We know nothing about CT beaches. We're coming from NYC, so anything on a train line is good (max 1.5 hours outside of city, please). Where is the best place to start looking? Any particular towns? We require: walking to beach (we have a toddler), walking to shops/ice cream and a monthly rental. THanks!