The Collaborative International Dictionary of English v.0.48:

Drayage \Dray"age\, n.
   1. Use of a dray.
      [1913 Webster]

   2. The charge, or sum paid, for the use of a dray.
      [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

49 Moby Thesaurus words for "drayage":
   air express, airfreight, airlift, asportation, attraction, bearing,
   carriage, carry, carrying, cartage, conveyance, draft, drawing,
   expressage, extraction, ferriage, freight, freightage, haulage,
   hauling, heaving, lighterage, lugging, packing, portage, porterage,
   poundage, pull, pulling, pulling power, railway express, shipment,
   shipping, telpherage, tonnage, toting, towage, towing, traction,
   tractive power, transport, transportation, transshipment, truckage,
   tug-of-war, tugging, waft, waftage, wagonage