Hi Ana,
I feel really bad for you! You did the right thing by preparing for your road trip and had the ideal vehicle for it.
Must be awful being stuck more than a 1000 kilometres from home with a dead vehicle.
Our Members will do everything they can to guide you to a cheap and cheerful solution. We don't have a lot of active members in SA unfortunately. Although
@Phil №❶ has a nearly identical vehicle and is pretty tech savvy.
If you contact the local Hyundai Dealer and explain your dilemma they may be able to help you get your car to their facility.
Mention that you contacted the i30ownersclub.com and the they are guiding you and monitoring the situation..

A few tears (well justified) and the flutter of eyelids can sometimes do wonders (not being sexist - just trying to be helpful)
Good luck with it. I would be your knight if I lived closer. I'm a sucker for a damsel in distress!

Edit: It would have to be a Friday! You might not get much joy from A Hyundai Dealer until Monday.
@cruiserfied do you have any contacts at Hyundai in Adelaide who you could call on Monday?