BLEND barbecue sauce, 1 cup papaya and cumin in blender until smooth. Pour half the barbecue sauce mixture over chops in shallow glass dish. Refrigerate 30 min. to marinate. Reserve remaining barbecue sauce mixture.
MEANWHILE, gently combine remaining papaya, dressing, basil and garlic in small bowl. Refrigerate until ready to serve.
HEAT grill to medium-high heat. Remove chops from marinade; discard marinade. Grill chops 5 to 6 min. on each side or until done (145°F), brushing occasionally with reserved barbecue sauce mixture. Remove from grill; let stand 3 min. Serve with papaya salsa.