Imagine a place where the aroma of freshly baked goods wafts through the air, drawing you in like a cartoon character floating towards a windowsill pie. That’s Tullio’s Bakery in Duck, North Carolina.

The walls are a kaleidoscope of vintage signs, old-school ads, and enough memorabilia to make the Smithsonian jealous. There’s a Coca-Cola sign that’s probably older than your great-aunt Mildred, and ...