PLACE chops in resealable plastic bag; set aside. Mix barbecue sauce, 1 cup of the papaya and cumin in blender; cover. Blend until smooth. Pour half of the barbecue sauce mixture over chops in bag; seal bag. Refrigerate 30 min. to marinate. Reserve remaining barbecue sauce mixture for basting.
MEANWHILE, gently combine remaining 1 cup papaya, dressing, basil and garlic in small bowl. Refrigerate until ready to serve.
PREHEAT grill to medium-high heat. Remove chops from marinade; discard marinade. Grill chops 10 to 12 min. or until cooked through (160°F), brushing with reserved barbecue sauce mixture. Remove from grill; serve with papaya salsa.