In NYC proper the Socrates Sculpture Parkhttp://www.socratessculpturepark.org/ind��In NJ there is the Grounds for Sculpturehttp://www.groundsforsculpture.org/Upstate NY there is the Storm King Art Centerhttp://www.stormking.org/
If you have time, why not Google it? Type Museums, New York City, kinesthetic scuplture Then you will have places on a map to look at and print to find. Google Earth or Google Maps will help you get directions to every place you want to go for your kinesthetic sculptures and more.
dk but if you re in nyc for a week you should see the kandinsky exhibit at the guggenheim