The Edison at Disney Springs has some good ones (I like the apple propellant). Oga's cantina has good ones like the black spire brew. Even La Cava del Tequila had mocktails options I could have. Disney is a great place for including everyone.
I believe that Le Cellier and The Brown Derby cost two table service credits each. That's the only issue I can see with your plans. We scored free dining for August, too, and I can't hardly wait until June to book dining!