Hi kristinelauren and welcome to the Chiari forum.
We do have a very small list for Australia...so, you will need to possibly travel to get to a Dr as most of us do here in the US.....and this list is not a referral nor an endorsement for those listed on it....as it was compiled by members of Drs they have been to, treated by and liked.
Do research the Drs and educate yourself on Chiari and ALL related conditions.
http://www.medhelp.org/posts/Chiari-Malformation/CHIARI-DRS-LIST-Australia/show/1314732