Heat coals or gas grill for direct heat. Flatten each chicken breast half to 1/4-inch thickness between sheets of plastic wrap or waxed paper.
Place cheese slice and ham slice on center of each chicken breast; roll up. Secure with small metal skewers. Sprinkle with seasoned salt and pepper.
Reserve 1/4 cup of the dressing. Cover and grill chicken rolls 4 to 6 inches from medium heat 15 to 20 minutes, brushing with remaining 1/4 cup dressing during last 10 minutes of grilling, until juice of chicken is no longer pink in center. Serve chicken rolls with reserved dressing.