Stir together salsa water, rice, beans, and peppers in a large skillet. Nestle chicken breasts into salsa mixture, and bring to a simmer over medium-high heat.
Stir to make sure rice is all covered with liquid, reduce heat to medium-low, and cover. Simmer for 45-60 minutes, until rice is tender, stirring once or twice during cooking. Shred chicken with two forks and stir into rice.
To serve, place a bed of lettuce into each bowl and top with chicken and rice mixture. Top with your favorite toppings like avocado slices, sour cream, shredded cheese, or additional salsa.
To speed up the cooking time, substitute white rice or quinoa, and simmer for 20-30 minutes.