I posted this on your other thread. When not on Free Dining I pay for food with Disney Gift Cards. I buy them from Kroger when they have 4xs fuel points. This works out to a 14% discount for me. If I pay for them with my Disney Rewards Visa, I get another 1% back in Disney Dollars (so 15% discount total). You could buy them with your credit card, get the points and a 14% discount on your food. Since I have already saved money/gotten a discount I feel free to order/eat what ever I want - 'Ohana, dinner at Chef Mickeys, most expensive thing on the menu, Mickey bars every day...whatever. I don't nickle and dime myself trying to come home with money because I can't spend the gift cards on anything but Disney stuff.
I do understand where you are coming from. I don't get hung up on food costs, but I do get hung up on lodging costs. While I could pay for a Disney Deluxe resort, I have not been able to get myself to do it. We have stayed in Values on site or off site in condos (Wyndham Bonnet Creek, Vacation Village at Parkway). Every time I price out a Disney Deluxe my brain says "but I could do x or y with all that extra money!", and I can't pull the trigger.
We have always used the Disney Gift Cards bought at a discount as well, and it does make me less stressed about food cost for sure.
I just don't enjoy chicken nuggets or tiny dry burgers, and neither do my kids, and I would poke my eye out before paying $6 for a "Power Pack"! We order adult food for the kids instead.
I did see this tip on the disneytourist blog so I think you can do it at WDW; we always do this at
Disneyland: Order at counter service without the sides. So "fish and chips, no chips"

or burger without fries...not every place will do it, but most will. Even the corn dog cart lets you order just the corndog without the bag of chips.
Also, there are usually only cheeseburgers on the menu. If you order a cheeseburger without cheese, they charge the same price. If you specify a "hamburger" it is something like $1.50 cheaper!
This saves $2 or so on each entree, which puts a counter service entree very close in price to a kid's meal. They don't get the free drink, but I don't want my kids getting juice/chocolate milk/soda at every meal - they mostly drink water and they get maybe 1 soda a day on vacation, usually Pepsi Throwback that we have in the hotel room!

- so I don't feel like it's an added value to the kid's meal. They also hate the bagged carrot/apple chemical taste so those get trashed, and they hate Disney fries (who doesn't?)
So for a kid's meal at $6 they get a tiny entree and a drink I don't really want them to have, and the icky apples/carrots/fries get tossed.
For $8-$10 they can get an adult size entree and drink water, and I don't "get red in the face and almost burst" [I love how you put that!] because they don't throw anything away, and they are satisfied instead of hungry 20 min later.
Anyway, since your DD doesn't eat much, you could either split one entree without a side for $10, or 2 entrees without sides if you want more food, but still be under $20 for both. Sorry, I have no idea of WDW prices, but the menu board prices (with sides) at DL are generally $10-$12, so I'm just subtracting $2 off of the $10 for my estimate.