If you have a slim/athletic build, check out Suit Supply. You can get their fully-canvassed model for right at 1k.
Otherwise there isn't much to recommend. Many of the stores are going to be out of the 1k price range. You could always try J Press, but I believe S Cohen makes their suits. Brooks Brothers would be in your range, but not exactly NYC exclusive. There are a couple of MTM places that will come in around 1k.