We had friends who lived on Puritan Ave (Schylerville?). It was a nice neighborhood. The only drawback was they were in the landing path of Laguardia Airport.
My nephew went to the Maritime College, under the Throgs Neck Bridge. We visited him a few times. Nice location; nice neighborhood to drive through, but it flooded sometimes.
Puritan Avenue is sandwiched in between Pelham Bay and Throggs Neck. Some realtors do call it Schuylerville, but none of the residents do. It's technically Pelham Bay, but some of them call it Throggs Neck.
I live right near the Maritime College, MC. As far as flooding, it depends on where you are. We're right on the Long Island Sound (Eastchester Bay). The waterfront is pretty much my backyard, and we've never had a drainage problem. But I have local friends who got hit pretty hard after last year's hurricane.