Special equipment: a deep fryer and 4 toothpicks
Heat 5 inches of oil in a deep fryer to 365 degrees F.
Whisk together 1 egg and 2/3 cup water in a medium bowl. Combine the flour, baking powder, salt and pepper in a small bowl. Add the flour mixture to the egg mixture and whisk until smooth. Set the batter aside in the refrigerator until ready to fry.
Assemble the sandwiches by placing 3 slices of turkey, 2 slices of Swiss cheese and 3 slices of the ham. Top with a second slice of bread and secure with 2 toothpicks inserted diagonally. Repeat with the remaining bread, cheese and meat to form a second sandwich.
Preheat the oven to 400 degrees F.
Heat 1 tablespoon of the olive oil in an oven-safe nonstick pan over medium heat, then crack the remaining 2 eggs into the pan. Cook in the oven until the whites are set and the yolks are runny, 2 to 3 minutes.
Dip each sandwich in the batter so that all sides are coated. Deep fry the sandwiches one at a time until golden brown on all sides, about 4 minutes. Remove the toothpicks and arrange on a plate. Dust with the confectioner's sugar and top with the fried eggs just before serving. Sprinkle a tiny bit of maldon salt over the egg yolk and serve with a ramekin of the marionberry preserves.
This recipe was provided by a chef, restaurant or culinary professional. It has not been tested for home use.
Recipe courtesy of Sunshine Tavern, Portland, OR