I don't know of any in New York, but Mayo Clinic in Rochester MN has one that has been established for many years. I did it several years ago, and it was great. You get to live with about 150 other students, and have a lot of areas to choose from. I think it was worth it - I learned a lot and got to see how other hospitals were run. Here is the link:
http://www.mayoclinic.org/summer3-rst/index.html