In the heart of Bend, Oregon, where the Cascade Mountains stand sentinel and the Deschutes River flows, there’s a sandwich shop that’s causing quite the commotion among locals and visitors alike.

The “Crab Imperial Melt” on an English muffin with cheddar cheese is a nod to Delaware’s seafood heritage and a must-try for visitors. Burgers are hand-formed and substantial, cooked to order and ...