You can get to the QS locations at the GF (Gasparilla Grill), Poly (Captain Cook's current replacement; I don't know the name), CR (Contempo Cafe), WL (Roaring Forks), and Fort Wilderness (Trails to Go?). Many of the resorts also have pool bars and/or locations to get other snacks, so I only listed the main QS locations. You can see the menus on Allears: http://allears.net/dining/menu/
In terms of transportation back to ASM, you can take a taxi from whichever resort you are at. It'll probably be about $25 plus tip. Otherwise, if MK is still open you can return to MK and then catch the ASM bus.