Whenever I'm making a chopped cheese, I always mix in a crumbled slice of cheese with the meat near the end but before I add on the slices of cheese on top. That way you get the best of both worlds, that gooey melted cheese in the middle with parts of it crisping and browning directly on the pan (the "burnt" cheese gives tons of flavor) as well as the melted blanket of cheese on top that encompasses the whole thing. One of my favorite things to make, both for how easy it is to whip up and how good it is to eat lol