Then you have to wait for luggage and either a rental car or some sort of transportation to CSR. I doubt the Pepper Mill Food Court at your resort will be open. Call CSR directly and explain your dilema.
If you are renting a car there are a lot of off site fast food restaurants along the way to CSR. DTD is another option for you.
Goodings is a supermarket at the Crossroads Shopping Center near DTD. They are open 24 hours a day. They have subs, pizza, sandwiches etc.