I'd feed the fish if possible, and manage for large BG. Lots of smaller LMB for kids to catch. I have a heck of a time catching CC in my pond, and so does a neighbor. Unless you know a secret that I don't, I'd be leery. They are easier in higher concentrations, but I think stocking CC light = harder to catch more than 1 at a time.
I say large BG because in smaller BOW's, to get large LMB, there can only be a few.