I understand about the character meal not being their thing.. it isn't mine either. But, we ate at the one at Cape May twice on our last trip, It is the closest place to eat when you are staying at the BC. Also, the food is great!
It isn't a noisy thing with a bunch of dancing characters or screaming kids. The characters just walk around and shake hands and take pics. We would simply say "Good Morning, Minnie" and she would nod and move on. They can tell when you don't want a lot of interaction.
You could also take the boat or walk around the lake to have breakfast at Spoodle's. The food is very yummy!