Set an air fryer for 400 degrees F (200 degrees C). Mix mayonnaise, chili sauce, and sriracha sauce in a bowl until smooth. Reserve some bang bang sauce in a separate bowl for dipping, if desired. Place flour on a plate. Place panko on a separate plate. Coat shrimp first with flour, followed by mayonnaise mixture, then panko. Place coated shrimp on a baking sheet. Place shrimp in the air fryer basket without overcrowding. Cook for 12 minutes. Repeat with remaining shrimp. Serve in lettuce wraps garnished with green onions.