Here is a list of regional resources related to GLBTI (gay, lesbian, bisexual, transgender, intersex) concerns.
There are some Ballarat-related resources in the list which you may find of interest.
In particular, one of the resources mentioned is Zaque, which is a social and support group for GLBTI young people in Ballarat. Zaque is run by the City of Ballarat Youth Services. Even if you are not young yourself, you may find it useful to speak to their GLBTI worker who might be able to recommend local trans-related and/or trans-friendly resources. Here is Zaque's web page:
http://www.youthservicesballarat.com.au/about-us/zaque.aspx
Ballarat Community Health (also in the list) may also be of help.