Ocean side camping anywhere in CT?

Taking the kids camping and lighting a fire on the beach is something I've always wanted to do. However, despite lots of research, I've not been able to find such a place.

I just thought I would post here in hopes someone might know a location I missed.

oh damn it!

Hammonasset Beach Campground and Rocky Neck Campground are the closest thing I can come up with!
But check these lists.

http://travel.campgrounds.com/find-state-results-list/Campgrounds-and-RV-Parks/All/Connecticut/All/

http://www.ct.gov/dep/cwp/view.asp?a=2716&q=325038&depNav_GID=1621

Thanks man! No camping on the beach though