Method:
Pat chicken breast halves dry and place in a non-reactive dish with 2 tablespoons lime juice, 2 tablespoons olive oil, salt and pepper. Toss to coat and marinate for 30 minutes to one hour.
Preheat broiler and transfer chicken to a broiler pan (or a rack set on top of a baking sheet). Place chicken 6 to 8 inches from heat source and broil until golden brown and no longer pink inside, 5 to 8 minutes per side. Allow chicken to cool to room temperature and slice on the diagonal into 1/3-inch-thick pieces.
Put remaining 4 tablespoons lime juice, garlic, cilantro, miso and agave nectar in a blender. Blend until ingredients are well combined. With blender running, gradually drizzle in remaining 4 tablespoons olive oil. Season with salt and pepper, to taste.
Toast dulse in a dry skillet over medium-high heat, turning occasionally, 3 to 4 minutes.
In a large mixing bowl, toss lettuce, green onions, radishes, edamame and dulse with enough vinaigrette to lightly coat. Place a generous handful of lettuce mixture on each plate and top with a mound of chopped tomatoes, a few avocado slices and chicken. Sprinkle each salad with pumpkin seeds. Drizzle with additional vinaigrette and serve with tortilla chips.