My X3 was about 10 days from "Awaiting Transport" to "En Route." The WW site didn't have any info for my VIN#, and I read that X3s going to the west coast are shipped with NYK lines. The date that my status updated to "En Route" coincided with the date that a NYK ship left Bremerhaven, so I think my X3 is on that one. I also read that you can call the BMWNA 800 number and get updated status, maybe even ship name & shipper info? Some people were getting that info from their dealer. I think once it's on a ship, there are no more updates until it gets to a processing center.
If you do a search, all forums, "shipping status", there are a lot of posts with links and good info. One guy even did has a photo essay on his website of the whole process from his BMW arriving at dock, through the processing center, then picking it up at his local dealer.