After a sweltering summer, the rocky coastline of Maine, with its ocean vistas, iconic lighthouses and lobster shacks, beckoned to us last fall. The state’s brisk, fresh air seemed to offer a promise of renewal. Apparently, we were not the only ones to hear the call. In mid-October, the tourist season was still in high gear, so reservations were tough to secure. But with help from our Travel Office, we patched together an itinerary that would include two historic inns — one on Moosehead Lake and the other on the coast in Camden — a seaside hotel on Cape Elizabeth and a woodsy resort near Kennebunkport.