Place hens in a large resealable plastic bag or shallow glass container. Add remaining ingredients (up to 2 tablespoons ground ginger); seal or cover and refrigerate for at least 1 hour. Remove hens, reserving marinade. Place hens in a 13-in. x 9-in. x 2-in. disposable aluminum pan. Pour marinade over hens; cover pan. Grill, covered, over medium-hot coals, basting frequently, for 35-40 minutes or until juices run clear and a meat thermometer reads 170 degrees. Place hens directly over coals for the last 3-4 minutes of cooking