Make sure you check out the Metropolitan Museum of Art. They have an astounding collection of firearms, including the most expensive pistol ever made. If I were you I'd up my room rate a bit and stay in Midtown, but then I hate public transportation with an unholy passion. If you like Italian food, you might splurge and surprise your wife at Babbo. I've never been, but we gave my in-laws a gift certificate as a wedding gift, and they loved it. And since my sister-in-law is Italian, I figure that's a good recommendation. You might also check out a Broadway show. I know that musicals aren't everyone's cup of tea, but your wife might enjoy that, too. And it'd get you some slack to check out the guns at the museum.
Whatever you do, and where-ever you stay, have fun. It's a neat town, although often overwhelming.
James