You might be surprised to know that shipping companies are insulated against losses, etc. in transporting goods from both contractual limitations and statutes. Generally, most carriers will disclaim as much liability as legally possible in the contract you sign with them (in the fine print, of course) or will assume you "consent" to such limitation by simply using their service. These limitations are regularly upheld in court.
Further, since you are shipping out of the country there are certain statutes that limit a carrier's liability unless the statute is disclaimed in the contract for carriage. This is regulary ignored by high volume shippers like the type you are describing.
Christopher R. Minelli
Minelli Law Offices, LLC
NOTE: This answer is not intended to be legal advice and should not be construed in that way. This answer does not create an attorney-client relationship and no such relationship may be created absent a signed retainer agreement. The author is licensed in Illinois only, and his answer is for educational purposes alone.