Did you ever watch Will Smith in "I am Legend" ? In one scene he's hitting golf balls off the deck of the carrier. You can explore the carrier itself, lots of different planes on the hardtop and when I was there they had a Concorde as well. You can also get inside the growler :biggrin:
https://www.intrepidmuseum.org/
The New York Public Library is worth a quick gander and don't forget to visit Grand Central.
Make sure you get to Central Park - if you're a fan, you might want to see the John Lennon memorial.
You can also have a look around Donald Trump's gaff on 5th Avenue - don't let the SWAT team and airport like security put you off, although apart from a nice waterfall, lot's of marble and gold and a Starbucks, there's not much going on there, but worth a tick in the box. Next door is Tiffany's and just up the road on the corner of 5th and Central Park South is the Apple Store, also worth a look.
You could probably save a few bucks staying on Brooklyn, but I'd rather be on Manhattan.