I had a full body work delivered to Sweden fro Equinox when I built my Haynes a few years back. One of the side panel had been a bit damaged during transport, but Equinox exchanged the panel for free without any problem. They did their best to pack the parts it as good a they could, but after, it all depends of the driver and they way the parts are loaded in the truck.
I think you can trust them for shipping the parts.
Hope that will help