The deluxe resorts don't have food courts like POR and the other moderates and values. Most have some sort of quick-service eatery, but the Boardwalk-area resorts are really lacking in that area. The Boardwalk Bakery and the pool bar (Leaping Horse Libations) offer a few kinds of sandwiches, and the Boardwalk to Go kiosk has some grill items, when it's open.
YC and BC also don't offer much in the way of counter service. There's Beach Club Marketplace, and the pool bar (Hurricane Hanna's), and Beaches n Cream.
You'll find a bit more variety at Picabu at the Dolphin.