Obviously, it depends on the robustness of the original product box. But I report that I bought a pair of roof top bike trays from a company in Italy, which were shipped to the US. in their original product boxes. The two boxes were strapped together with plastic straps, and then combination was wrapped in shrink wrap (the two boxes weren't even the same size), with the shipping label affixed to the shrink warp. They survived the trans-Atlantic trip just fine.
If the product boxes are sturdy enough, then you're probably fine taping the boxes shut firmly, and/or wrapping the box in plastic.
|