I have Ericson 32 #112, the one right after yours - I'm told mine is a 1969, though. Who knows.
I'm living proof that these boats can be brought through the Erie Canal, as I took mine from Erie, PA to NYC via the Canal and the Hudson River.
However, I'd strongly suggest that a trip from Michigan to the Carolinas be done by truck. (My boat originally came to Erie from San Diego by truck.) It's going to cost a couple of grand either way and the mast has to come down either way. Might as well get the move done quickly. Time and cost if you go by water in an old boat that's new to you: incalculable. Will the engine go the distance? Will something break? Will you sit around for weeks waiting for parts, or a haulout, or a mechanic, or a fiberglass repair person? Could take months.