Not sure, but my girl who also loves mozzarella sticks, also loved the cheese dogs at Corn Dog Castle in DCA (like corn dogs but with cheese instead of a hot dog inside). You should definitely check those out!
I have one of those too, "doesn't eat cheese" except loves queso and chips, mozzarella sticks, and cheese pizza, LOL. Won't eat sandwiches, hamburgers or chicken nuggets.
I was stalking the menus, and saw mozzarella sticks and fries as an option at the Golden Horseshoe in Frontierland