Combine first 6 ingredients in a medium bowl, stirring well.

Cut 2 eggs in half lengthwise; reserve 2 yolks for another use. Coarsely chop remaining egg whites and whole eggs. Add eggs to mayonnaise mixture; stir gently to combine.

Arrange 4 bread slices on a cutting board or work surface. Top each bread slice with 1/2 cup egg mixture, 2 bacon pieces, 2 tomato slices, 1 lettuce leaf, and 1 bread slice. Serve sandwich immediately.

Beer note: A basic guideline of pairing a beverage with food is "like with like," and bread and beer are yeasty kindreds. With an Egg Salad BLT sandwich, reach for a Samuel Adams Pale Ale ($7). The bready yeast and malt flavors are balanced with bitter hops that add some welcome snap to the meal. A cold, characterful American pale ale is also a more thirst-quenching choice than wine. --Jeffery Lindenmuth