Im not saying you have to quit your job entirely.
But if you got private health insurance now, did your two month waiting period and were able to get inpatient treatment for a week/fortnight at one of the private specialised facilities in 2-3 months time are you going to turn it down because of work?
I'm still not entirely sure why you have presented to Emergency at the base hospital yet either. That is the fastest way to get admission.
im pretty sure even if you went to the PA they would just transfer you back to Toowoomba because they'd need those beds for people living in their catchment.