Make a rest-stop (when open) and/or have a good view of the water and airplanes.
The park is open from sunrise to sunset. During the summer, the park requires proof of residency on the weekends. If you are not from Nassau County, you will have to pay a fee, but there is a way around it. I believe they don't check if you walk in. So I suggest you park nearby, there are plenty of houses to park in front of, and walk.
Congrats to OZEOZ01 for being the FTF.