Depending on where in Cape Town, you can try going to Mowbray Maternity - you can try for natural labour but if it doesnt work you go to the government section for a c/s.
Seems like the better option out there as far as government goes.
The c/sec can throw a spanner in the works with govt hospitals, I would honestly not want to go to any of them (just my own opinion), but if things are looking good for a natural delivery, there are day wards like Medicross who do natural labour but then you go home the same day.
Trying to think what else I can suggest now. It's certainly not easy.
In places like the UK expecting moms only really see a gynae twice or 3 times in their pregnancy, for the big scans (13weeks, 24 weeks) and just see midwives inbetween. Not sure if that's your way of thinking though.