I have to be honest, I don't know about in the Perth area. Your best bet would be to call all your local hospitals and find out if this is an option for you.

I know that many public hospitals do have private rooms, but I am not sure how you would go about paying for them?

The main reason we pay for our private health cover is to ensure a private room. I know that the cost of a private room is exhorbitant, so I am not sure how much, if any, you could get back from Medicare.

Some of the other girls may have more experience with this.