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HEAT greased grill to medium heat.
GRILL pineapple slices 4 min. on each side; remove from grill. Grill chicken 5 min. on each side. Brush with 2 Tbsp. barbecue sauce; grill 2 to 4 min. or until chicken is done (165°F), turning after 2 min. and brushing with remaining barbecue sauce.
CUT chicken crosswise into strips. Cut pineapple into 1/2-inch chunks.
COVER 6 serving plates with greens; top with pineapple, peppers, chicken and dressing.