Ya got my research-type brain goin'.
First, don't forget the CT is called the "Nutmeg State". There's a start.
There's also seafood places on the South Shore, Long Island Sound.
And apparently the state symbol of CT is an oyster.
FoodTimeLine claims that burgers were "invented" in CT, in a place called Louis Lunch in New Haven.
You may like the info here, from Ct State gov't library of "specialty food producers" in CT:
http://www.ct.gov/doag/li...cialtyfoods_040810.pdf Includes stuff like ginger beer, special seasonings, jams, mustard, etc.
I came across so info on a specialty called "Election Cake": Maybe there's a bakeries that sell it.
http://www.foodtimeline.o./foodcakes.html#election Election cake Food historians generally place the origin of Election Cake in 18th century New England, most notably Hartford, Connecticut. As the name implies, the recipe is somehow connected to politics. Culinary experts confirm the original item was not a true cake (as we know it today), but a simple, sweetened yeast bread composed of dried fruit and spices. Other names for this cake are Hartford cake and Commencement cake.