Is she a more dominant hen? Or does she get pecked by the others? If she is high on the pecking order she should *imo be able to keep the hens lower than her away.
I had a rooster last year try to kill my game hens chicks when they were just a few days old. So now I separate my broody hens and their chicks until they can put up with the bullying or the chicks are old enough to get out of the way.
The hens are easier to herd around and move slower when they have new chicks, so you should be able to guide her and babies to the run.
maybe you could temporarily divide up the run for the broody hen and keep a dog crate or something heavy duty out there to lock her up in at night? Just a suggestion. Good luck, would love to see pics when they hatch.
I've got a Wyandotte hen on a dozen eggs right now.