In a frying pan, add brown chicken and onions. Add garlic, carrots, and the chopped peppers and sauté until tender. Add the tomatoes, brown sugar, rice, basil, salt, and pepper. Cover the pan and simmer for about 30 minutes until the rice is tender. Place the peppers in a baking dish and stuff the hot meat mixture into them. Cover the tops with shredded cheese and ketchup. Bake in a preheated oven at 350°F for 15 to 20 minutes. Serve hot.