Explore the option of booking a "hidden city" ticket, where you book a flight with a layover in New York but your final destination is actually another city. This strategy can sometimes result in cheaper fares, especially if New York is a major hub for the airline you're flying with. However, be aware that this practice may violate airline policies and could carry risks, such as being denied boarding or losing your frequent flyer benefits. Use this option cautiously and research thoroughly before proceeding. With careful planning and consideration, you may uncover a hidden gem for securing a budget-friendly flight to New York.