Maybe ring Melbourne IVF and Monash IVF and see if they can help.

I went private (uninsured), so i can't help, but my FS would do my procedures at RWH so that i didn't have to pay the associated costs for anaethestist etc at Freemasons. I can PM you his name if you want. I also loved his receptionists - they were great for advice and help with thiings.