I believe it to be one of the tree crickets.....a unique category of crickets. There are many different species.

Thanks for that lead, the long thorax was unlike katydids or crickets familiar to me.

The brown head and legs are distinctive and the cricket is likely Oecanthus pini, or pine tree cricket, per bugguide images. The range does include New York.

Thanks so much for all of the info. I really appreciate it. I couldn't find anything on it myself...