No specific information. Most gyms have a Stages spin bike with a power meter. The density of NYC will actually make it harder to find what you’re looking for. Connection your phone to it and just adjust the resistance manually. Are you staying in Times Square ? Pro Tip: Union Square among other locals is every bit as continent and less hectic.
I’d suggest you fall off your plan and just ride NYC. You can can light to light intervals, laps of central park, or cruise the neighborhoods. Rapha and a dozen other bike shops make it easy to rent. You can also just get a Citi bike for an hour.