Heat a large, heavy-bottomed pot over medium-high heat. Add oil and when hot, but not smoking, brown chicken and sausage until all sides are browned, about 7 minutes. Transfer to a paper towel-lined plate with a slotted spoon and set aside.
Add okra, onion, celery, bell pepper, black pepper, white pepper, cayenne pepper, dry mustard, thyme, basil and salt. Cook, stirring frequently, for 10 minutes, or until vegetables are soft.
Stir in broth, tomatoes and rice and bring to a boil. Cover, reduce heat and simmer for 15 minutes, or until rice is tender. Add reserved chicken and sausage and simmer gently until thoroughly heated. Serve warm.
Makes 6 servings.