You are crazy not to get the insurance, it might seem high, but stuff does happen.
You should be dealing with a freight forwarder on this (basically a broker) and they can advise you what to do. They are far less expensive than a moving company. If you are doing this as part of your job, the company should be able to give you some good referrals.
We are using a company called Schumacher. They have offices at all of the major ports.