More Revolutionary War battles fought in SC than any other state. Not MA, not NY, not NJ...
And for interest's sake, Westchester County in NY was a microcosm of what most of the south was like in that Westchester County during the war was a no-man's land and skirmishes between "the cowboys" (Loyalists who supplied beef and other food to the Brits in NYC) and Patriots were common (and I'm not speaking of The Battle of White Plains).
Are we counting engagements at sea, off the shore or in the harbors? If so, I think NJ would win.