I think you are about a decade behind. I seriously doubt you will find a Ilfochorme/Cibachrome lab in close proximity to NYC, or any other USA city, but there may be one or two left in North America.
Clone-a-chrome used to be the place, but I believe they've gone all digital. Still, you might ask them. Check their website for contact info. They can probably still do it, or if they're completely out of the business, they might recommend a small custom printer who still does it locally, but bear in mind that custom printing isn't cheap, particularly if it involves contrast masking, which is a fairly common procedure with Ilfochrome and modern films.