island beach state park:
$10 per person to get in on a weekend
$55 group picnicking
they have daily programs of an educational nature in july and august, there is a mile of water front designated as the "bathing"(pretty sure they mean swimming) area that is staffed with a lifegaurd mid-june through early september, and they also have a bunch of other points of interest around the park(mostly cool sounding educational stuff)
the site also shows the parking areas as being fairly small, i seem to remember some of them being easily large enough for us though. i will check into this further.
i don't see a policy listed on the park home page, but i am pretty sure all state parks do not allow alchohol.
p.s. somebody buy a bunch of t-shirts so we have money in teh club fund to pay the fees