I couldn’t recall until I flew around on Google Earth just now - Point Pleasant - pretty far north so near the city. I see it was “only” $9 per person:
http://jenkinsons.com/beach/beach-prices/
When we lived there we never went - my wife grew up there and she went often as a kid. We did go to Cape May once way to the south. That was nice - much more natural down there. Although Point Pleasant was fun for the kids with the amusement stuff.
Seaside Heights isn’t too bad.