Prepare a grill fire to 300°, we used a pellet grill with competition pellets for this cook.
Melt 3 tablespoons of butter and inject it into the chicken breasts and rub over the outside. Coat the chicken with Italian Rub.
Place chicken onto the grill and cook with the lid closed.
Continue cooking until chicken reaches 165° using a digital meat thermometer.
Remove chicken from the grill and allow to rest about 5 minutes.
Use a sharp knife to cut into thin slices. Set half of the chicken aside for another meal.
Cook the pasta according to package directions.
Make the sauce Add peppers, onions and carrots to a pan with olive oil and cook over medium heat, stirring often until vegetables are softened.
Stir in tomato sauce, butter, brown sugar, garlic, dried basil, dried thyme, dried oregano, salt and pepper.
Continue cooking, stirring often until heated through. Lower to simmer and keep warm. Mix sauce with cooked and drained pasta.
Serve sliced chicken over pasta and garnish with basil.