I'm not sure what you want covered? You have top hospital cover so when you go to hospital to have your egg pick up ( which is the biggest procedure for Ivf) you are totally covered.
Your fees for doing Ivf and coordinating the cycle etc are not covered by private health and non of them do. A standard cycle cost around 9k and you will get about 6k back from Medicare.
It's expensive. It's bloody expensive. I have spent around 100k on 2 babies out of pocket.