If you haven't been for awhile, you may want to look at the menus. It is very easy to avoid nuggets/burgers/pizza with QS. We eat mainly QS, and in 10 trips, the only time we've had any of those things was by choice.
AK - Flame Tree BBQ for bbq (obviously), half chicken is good, DS really liked the salad w/chicken he had.
MK - We like the chicken and/or ribs platter at Cosmic Rays (comes with mashed potatoes and green beans), Columbia Harbor House is good, Pecos Bills' Fajita Platter is good (and shareable for us)
Epcot - We like the Cantina in Mexico, Tangierine Cafe in Morocco, Sunshine Seasons,
DHS - Backlot Express has a caprese sandwich that is good, they have chicken and waffles (one of my kids loved this, I don't), Fairfax Fare has pulled pork that is good,