Fill 9-inch round shallow pan with hot water (110°F); place clean, damp paper towel on work surface. Dip 1 rice paper wrapper in water about 5 seconds or just until pliable; place on towel. Place lettuce leaf on lower third of wrapper. Spoon scant 1/3 cup noodle mixture on lettuce. Sprinkle with about 1 tablespoon peanuts and heaping tablespoon edamame. Starting with edge covered with fillings, roll up wrapper over fillings, stopping after first turn to tuck in sides. Continue to roll up, tucking in sides. Place seam side down on serving platter. Repeat with remaining wrappers and fillings, placing on platter without sides touching.