VicRoads don't really offer a permit for your situation.
They have a single trip permit. Is Qld to Vic, and is only good for up to 7 days, basically enough to do the trip with a day or 2 spare
The other is for the purpose of getting it registered, time frame varies up to 28 days. That will allow you to get it home and then the running around needed to get it registered, eg repairs RWC.
Both rule out "You cannot use an unregistered vehicle permit for social or domestic purposes"
You should also be getting the print from the state you start in, ie Qld.
"If you need to drive a vehicle from another state (except Western Australia) to Victoria you need to obtain a UVP from the relevant state in which your journey begins."