For me, favorite foods to eat and favorite food to cook on the kettle are two different things.
I, too, am a ribeye lover, but to me, all the elements of the classic American backyard cook come together with chicken quarters. You have the smell of burning charcoal, some indirect, some hot and fast direct, and nothing - NOTHING - comes close to the eye appeal of some perfectly browned quarters interwoven on the grill ,with a thin coating of slightly caramelized BBQ sauce glazing the surface. They don't taste too bad either.