If I remember correctly, the Steak & Shake is only about 1/4 mile away. It is in a shopping center accross the street and south just a bit. In the same shopping center my favorite Chinese Buffet - New York China Buffet. Most items are good and they have soft serve ice cream for dessert.
Off Palm Parkway but still close by, the $3.99 buffet at CiCi's Pizza should be a hit with the kids. They have a salad bar, a couple of pastas, about 10 different pizzas to choose from (not great but good enough) and a few desserts.
The marketplace at Disney is less than a mile away. The Earl of Sandwich is a great inexpensive option. Kids just love the Rainforest Cafe nearby. It would be a great place to take the kids for the evening.