Combine first 6 ingredients in a small bowl; stir with a whisk.
Steam snow peas, covered, 1 to 2 minutes or until crisp-tender. Rinse with cold water; drain well.
Combine snow peas and next 5 ingredients in a large bowl. Add dressing, and toss gently.
Serve salad immediately over lettuce leaves, or cover and chill until ready to serve.