If you don't require cheap then Craters & Freighters is one option, first class velvet glove treatment but it's expensive.
http://www.cratersandfreighters.com/cf/locations.do
U-Ship might be another possibility, You place an ad saying what you need done and wait for offers, you're dealing with individual Truckers there so it's luck of the draw how careful they are.
http://www.uship.com/?-ship_broad&gc...FRYiagod-ms-uw