I think a good way to stop stuff like this is for the person making the false accusation to have to do the falsely accused rapists prison term plus whatever she is given for the fraud charge.
I need some help here, I remember being told that a Marine guarding a prisoner, if the prisoner got away the Marine had to serve his sentence, but do not remember how it worked if the prisoner were captured and brought back. The Castle in Portsmouth holding hundreds of military felons, had the Yard Birds telling story's about some prisoner getting away from a Marine guard and all hell breaking out.
I have to agree that a false accusation is an assult on those they accuse. However few will come forward to admit their crime unless they are given immunity. Surprises me when some come forward to say they lied about a person who spent 20 years in prison for a crime they did not commit and these people manage to survive the anger of the family of the person they lied about.