Im not sure how much i can help as I rarely go to asian places. Ive only been a few times (i prefer caucasians).
Your first option is to look at the classifieds in the canberra times. Many asians advertise there every day.
If you prefer a brothel - you have two choices - the industrial areas of fyshwick and mitchell (note all brothels, massage parlours must be in these suburbs). Both suburbs are about 10 minutes car ride from the city.
There is one dedicated massage parlour in fyshwick - chrisindys with most of the girls caucasian
Link is broken so has been taken down
Asian brothels/amp include
Lollipop lounge - Link is broken so has been taken down They do massage starting at $100 a half hour.
Northside studios - Link is broken so has been taken down
Mimi Club (one of the original brothels in canberra)
Link is broken so has been taken down
Nobules
Pretty Girls - 77 Gladstone St, Fyshwick ACT 2609
Studio 108 and foxy lady (assuming there are still there)
Most of the brothels in fyshwick are very close to each other. So if you have a car its easy to drive around. There are probably other ones i have listed. There is also a stripclub
Link is broken so has been taken down on gladstone street if you wanna see strippers.
Pretty women is in Mitchell - which also does massage. It has been around a long time too.
Hope this helps.
I might do a review of the canberra scene past and present when i have some free time.