Hey...
I would suggest you apply to Emirates who do not have a maximum height and love to recruit aussies
EK operate only widebodied aircrafts which means you will never end up with the possibility of being in a smaller aircraft like at QF. I am 6ft2, I know someone who works there at 6ft4 and you would have no problem getting through. If I am not mistaken, they are recruiting like mad at the moment. Check you emiratesgroupcareers.com.
Good Luck