If I can make some suggestions for your NYC trip. Get at least A slice of Pizza from almost anywhere. Seriously NYC has the best Pizza in the world. If you really want to treat yourself go to Spumoni gardens. Its unreal Pizza. If you're ever in the mood for a burger and a milk shake go to Shake Shack, there's a bunch of them through out the city now. Fantastically good.
If you decide you want some Ramen, head over to Ippudo, or Ippudo Westside. Probably the best Ramen I've ever had anywhere.
When it comes to BBQ suggestions I have 2. Mighty Quinn's BBQ, which has a Brontosaurus Rib (it's like a 1 1/2 lb beef rib that melts in your mouth), and Hill Country BBQ Market. Honestly the Brisket at both places is like a religious experience.