Lunch - Near High Line?
For burgers it's only a short walk to the Spotted Pig if you're going on a weekday it should be somewhat calm.
Jane Street Tavern is also a short walk away and does it great burger. A little closer right on 14th street is The Diner. Delicious Kobe Beef Sliders!
As far as decor I would say the closeest thing to 5 Napkin Burger would be Pastis. It's almost always packed though and a little overpriced IMO.