Hi, this is Charles(Funeral Home Employee), not JetGirl. The method of transport is based primarily on cost effectiveness and state/national law.
Each body must be accompanied by a Burial Transit Permit, identifying the person, and containing statistical data, like date of death and attending/primary physician.
Over long distances it’s almost universal to use planes. A body must be embalmed in order to be shipped by plane, and must be inside a sealed casket(A type of casket made of steel or wood, with rubber along the edges to make it airtight.) or an air-tray, a wood/cardboard box with a plastic bag for the body. DeltaCares is a good example of an air freight system for body shipping. They are indeed placed in the cargo hold.
The funeral home can retrieve the body over shorter distances, usually charging a flat rate for X miles and then mileage for anything above that. If you have made arrangements with a funeral home in your native town, and die abroad, your funeral home will make arrangements for a local(To the place you died) funral home to embalm/ship you home.
For international deaths, most people cremate and mail the ashes home. Cremation is considered a final disposition, so whatever happens to the ashes after that, they are no longer considered a body by law. They can be sent through standard mail, UPS or FedEx. For body shipping to foreign countries, each country has it’s own standard.
To ship to Italy, the body must be embalmed, placed in a Zeigler case(A lock down metal mini-coffin that looks like Count D would like it.) then inside of a sealed casket, which is placed inside of a screwed shut pine case no less than 1/4 in thickness.
Also, the funeral home places the body in the body bag, which is then tagged by local PD/Sherriff’s Dept with a plastic tie that has to be cut loose to be removed to prevent tampering. In the vast majority of states an attended death(By a physician or a hospice nurse) does not require an autopsy if you’re not in the hospital when you go, so the funeral home just goes to the house with a cot and takes you away.
If you were to, say, shoot yourself in the face with a shotgun, or hang yourself by a dog chain in the woods an autopsy would definately be required. The PD calls a funeral home(By rotation) and has them come to the scene after the crime scene guys are done, we put the body in the bag, they seal it, and then follow us to the hospital.
Another interesting note, in order for a body to cross a state line it must have a BT permit signed by a funeral director and a sub-registrar. So if I go from Tallahasee to south GA which is forty five minutes away, I have to have a contact on the other side to issue the permit, even if it’s three AM, because BT Permits are state and not federal, it must be signed by a GA LFD.