I'm a fan of of cooking slow on the barbie. My favorite meals are chuck roast slow cooked and slow cooked pork baby back ribs. Ummm.
Since I'm a charcoal believer, the only way to cook slow is to cook to the side, away from the heat, and turn to make sure you cook through.
Once this idea of slow cooking, away from the coals sets in, you open up an complete new area of grilling, including shrimp (which some call prawns).