Preheat oven to 350°F.
For the croutons, heat a medium-size skillet over medium heat. Add oil and melt butter into oil. Add garlic and swirl for a minute or two; toss bread cubes in garlic butter. Arrange croutons on a baking sheet and season with black pepper and cheese. Bake to deeply golden brown, remove and reserve.
Raise oven temperature to 375°F.
For the dressing, place anchovies, Dijon, Worcestershire, garlic, lemon, pepper and egg yolk in a food processor and stream in EVOO while machine is running. Add cheese and pulse to combine.
Wash and dry lettuce, coarsely chop and add to large salad bowl.
Arrange bacon on a slotted baking sheet or broiler pan and bake to crisp, 18 minutes. Cool to handle then chop into 1-inch pieces.
Heat a large, nonstick skillet over medium-high heat. Add a drizzle of olive oil, about half a tablespoon, and half the chicken. Season with salt and pepper, and brown and cook a couple of minutes on each side until cooked through. Repeat with remaining chicken. Dice cooked chicken into pieces about the same size as the croutons.
Add dressing and croutons to lettuce and toss to coat. Arrange dressed greens and croutons on large dinner plates then top with some chicken, radishes, bacon, blue cheese, scallions and chopped egg.