It makes no sense whatsoever. Given that she's got a full-time Secret Service escort for life, she's already tracked 24/7. When she ditches them, then she might be making a run for it.
But she won't go on the lamb...because that would mean she did something wrong. Persecution by the "great right-wing conspiracy" is a deep-seated part of her identity; she'd sooner stay, face that, and reinforce her perception of herself than run and deny it.