No offense, dude, but I don't think you're seeing things very clearly. NYC has millions of hot puzzies EVERYWHERE. EVERYWHERE. Just start approaching anywhere ... on the street, coffee shops, everywhere. Union Square, Washington Square, Times Square, Central Park, doesn't matter.
I happen to think that you are using this as an excuse for not approaching.
Reminds me of a guy I went out "sarging" with once many years ago. We'd walk into a crowded bar and he'd walk once around the bar and get back to the front door and say "there's nothing here, let's go." And, so we'd leave and he'd do the same exact thing at the next dozen crowded bars. Ridiculous.
Take a look at the Bootcamp Program for approaching and some of these guys posts that have been circulating about their approaches. That is money. In NYC, by shear numbers, you have astronomical opportunity to score puzzy. And, imho, NYC has some of the finest puzzy in the universe.
Good luck.