Probably futile but, if you haven't already, you may want to
apply for an exemption, even though your particular situation isn't listed. End of life visit? Urgent dental work? Have you ever lived in SA previously? i.e. returning resident. Any backroads through farmland to consider? Hitch a ride in the back of a truck? Sorry mate, I realise you've probably thought of all these options. What an insanely shit situation to find yourself in.
Waiting for supposedly intelligent people to wake up and see logic is taking way too long.