There are no legal restrictions on how to move a body, other than the dead person must not be visible while in transit. You can use your mates’ Ute, a van, a trailer, a horse drawn cart or whatever vehicle you can fit the person or coffin in. A hearse is not a legal requirement.
Remember to protect the body from decomposition by keeping it cool.
If you need to have a body transported long distances to another town, interstate or overseas, the company that is transporting the person may have requirements to chemically preserve and/or bio-seal the body. Ask lots of questions and find out what the actual requirements are so that you are not agreeing to expensive and/or invasive procedures that are not essential.