Sorry if this in the wrong spot... got a bit confused where to put it

As the title says my private health doesnt cover private hospitial while having a baby. I can upgrade but will mean I have to put off trying to conceive another 4 months.

Has anyone used a private obstetrician in a public hospitial? I will have to travel to Brisbane I think this time round so would be looking in that area.

I soo want to start this month and have booked in with our specialist to get pregnant but if its better to hold off and go private all the way will do so.

Thanks for your advice and experience in advance.