1. Peel shrimp, and devein, if desired. Place shrimp and next 4 ingredients in a large zip-top plastic freezer bag. Seal and chill 8 hours or up to 24 hours, turning bag occasionally. Stir in basil 1 hour before serving. Drain and discard marinade just before serving.
2. Divide greens evenly between Parmesan Baskets or serving bowls; arrange drained shrimp mixture evenly over lettuce. Serve with Fresh Lemon Vinaigrette.