Although "on paper" it would appear that you have enough time, between customs, teaffic, and the weather, I would either stay put in the airport, or at least limit your sight seeing to one attraction or the other, and maybe add a quick lunch or dinner with your fiance'.
Yep
Hell noooooo... in this rain and Manhattan traffic at this time. You better enjoy the comfort of a warm and dry airport terminal before you lose your flight.
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