To prepare noodles, cook noodles in boiling water 1 1/2 minutes; drain. Rinse under cold water. Drain and place in a large bowl.
To prepare the sauce, place lime juice and the next 4 ingredients (lime juice through garlic) in a blender, and process until smooth.
To prepare chicken, heat oil in a large nonstick skillet over medium-high heat. Add chicken; sauté for 3 minutes. Stir in shallots. Cook 1 minute; stir constantly. Add sugar; cook 5 minutes, stirring frequently. Remove from heat; stir in 1 tablespoon fish sauce and black pepper.
To prepare salad, combine noodles, sauce, chicken mixture, bell pepper, and remaining ingredients in a large bowl, and toss well.