Maybe. But that would have been a black eye for the FBI (and compounded the police department's guilt in writing him off). The always get their man, remember.
The kidnapping father may not be a gazillionaire, but he's no panhandler. That safe room is bigger than my house.
The perfunctory, "There's the suspect! Everyone stare and point, shout his name and start running at him!" And agents can magically locate and get to anyone anywhere in the city in minutes.
I don't understand why the woman didn't lead with the fact that she gave the girl bus fare and knew where she was heading instead of having to have it dragged out of her. Or why the father didn't explain his newly-found daughter's story to the police when he reported her missing. Although, I believe that all through the episode he knew, but was in denial, that she had run away.
All in all, an entertaining, thought-provoking episode.