If you are staying on property, you can put your food bill on your room bill if you checked in with a credit card guarantee, then pay your bill at the resort with the Disney Rewards Card. I have done this. On the trip that I just took, I paid for my Dining Plan with the rewards card upon check-in. You can use your rewards card at the coke carts and the counter service restaurants. I do think, now that I am typing this that we did pay at Hollywood and Vine with the Rewards Card a few years ago.
You can go to the rewards card benefits section at Chase and it will tell you everything. It really covers a lot, we used it in the gift shop at AKL. It will cover tickets too.