New York University:

http://www.med.nyu.edu/psa/

Freudian:
http://nyfreudian.org/training_01_04.html

Jungian:
http://www.junginstitute.org/

National Institute for the Psychotherapies:
http://www.nipinst.org/pro/

National Psychological Association for Psychoanalysis:
http://www.npap.org/training_institute.html

Manhattan Institute for Psychoanalysis:
http://www.manhattanpsychoanalysis.com/

Centre for Modern Psychoanalytic studies:
http://www.cmps.edu/

Basically…

Try google “Psychoanalysis training institute NYC”

I’m not sure how you will go… I know that they are usually fairly good at taking on students at sliding scale rates, I would imagine that would extend to other people too… I’d say you would probably have to contact a fair few of them to find someone willing to work to sliding scale.

I’ve been looking for a fair few years now… And I’ve only just found someone. But that being said I don’t like in NYC!