In a medium pot, add the brown rice and enough water to cover by about two inches. Bring to a boil, then reduce heat to medium to keep it at a gentle boil and cook for 25 minutes or until cooked through. Drain through a fine mesh strainer, then set aside to cool.
In a medium bowl, add all of the dressing ingredients and whisk until smooth. If too thick, add more water to thin, 1 tablespoon at a time. Taste and season with more salt or lime juice, if needed.
In a large bowl, add the cooled rice, cabbage, cucumber, broccoli, carrot, chicken or edamame, and herbs. Add ⅔ of the dressing and toss to coat.
Serve topped with an extra drizzle of dressing, peanuts and more herbs if you have any leftover.