All resorts have some sort of CS location. As the cost of the resort goes up, the food selection usually goes down. The values have a large food court, several "windows" each usually offering a different style of food. The moderates have similar, but not quite as large. The deluxes usually have a single "window" with 6-10 entree choices covering all styles.
AKL has the Mara, which has a good selection of food. Keep in mind that both Boma and Jiko are closed for lunch, so if you are looking for lunch you would need to head to Kidani for Sanaa if you wanted TS, or you could do the Mara for CS at Jambo.