Sounds like fried rice to me
I wouldn't call it a Southern US dish...at least not around here, and I'm in the South.
I would simply add some turmeric (or you could add some saffron threads if you wish) to the chicken stock when you cook the rice. Cook in chicken stock versus water. If you are using frozen peas and carrots you can heat them seperately and just toss together when the rice is done.
In reading your other dishes I'd say you should go for the dirty rice!!! It's wonderful!