Is your bridging visa leading to PR? It would be costly to get a loan while on temporary visa because amortizations will be computed against the remaining validity of your visa. Since bridging visas are temporary in nature, meaning your application for substantial visa can be approved or disapproved, a car loan may not be viable.
The other option is to buy used. You can get from dealers or buy direct from sellers. Of course most of the time this would be spot cash and the prices can range from as low as Au1K upwards depending on the vehicle. If buying this way, be sure to bring along a mechanic who can check the vehicle and be sure to test drive. I haven't tried but read somewhere the mechanics would charge 2-3 hours labor cost. In most cases the cost would be better than buying a used car that would cost you more to service and maintain.