Combine first 5 ingredients; stir well, and set aside.
Thread chicken evenly onto 3 (12-inch) skewers. Thread pepper, peach halves, and onion alternately onto 6 (12-inch) skewers.
Coat grill rack with cooking spray; place on grill over medium-hot coals (350° to 400°). Place chicken and vegetable-peach skewers on rack; grill, covered, 10 to 12 minutes or until vegetables and peaches are tender and chicken is done, turning and basting often with lime juice mixture. Remove chicken, vegetables, and peaches from skewers.
To serve, place 1/2 cup rice on each plate; top evenly with chicken, vegetables, and peaches.