Thanks for your reply. There's still lots of visas available for hairdressers:
The 190 visa for South Australia, Northern Territory and Tasmania.
The 489 visa for Queensland, Northern Territory and Tasmania.
Unfortunately no Western Australia for you but there is ways in to Australia for you. Then after a couple of years you could always move to Perth.
On the Vetasses, Victoria University and Tradeset website they all say you need to be able to do chemical straightening. I'm going to try do a few courses soon.
The lists update on 1st of July so keep an eye out, you never know Western Australia may come back on it. :-)
http://www.anzscosearch.com/ Look up hairdresser on there, it's much clearer to see which states are doing what and it's updated pretty regularly.
Sarah