This is no help for Lisa but ...

Teachers Federation Health (for all those teachers out there) offers 100% cover for midwifes & homebirths. They also cover antenatal care, birth classes, lactation consultants, a nappy service & home nursing

It doesn't get much better than that!

I swapped from MediBank Private for the very reason they offered absolutely nothing for birthing naturally.
They actually cover $1500 for homebirth now, not 100%. But $1500 is better than nothing, hey!