Prepare Deviled Sauce and set aside. Combine eggs, salt, and TABASCO® Sauce in a shallow dish and mix well.
Heat several inches of oil in a heavy 3-quart saucepan or deep-fryer to 375°F. Dip shrimp in egg mixture, then in bread crumbs, shaking off excess crumbs. Fry in hot oil, a few at a time, until golden, 1 to 2 minutes. Drain on paper towels.
Just before serving, drizzle Deviled Sauce over shrimp.
Makes 4 to 6 appetizer servings.