Edit: The Fedex Baggage Free Service is unavailable (at least in Canada). This is a moot point, however, as your baggage can be couriered with plain-old courier service and the right customs forms. (See this answer)
There is the Fedex Baggage Free Service.
Rates and Transit Times
##Rates and Transit Times TheThe Baggage Free page points you to the normal Fedex rate and transit time calculator which you can use to get a shipping cost for your luggage. Presumably, if you or your company has special discounted terms with Fedex, you can benefit from those if you use the account.
Customs and Duties
##Customs and Duties ItIt is not clear from the Baggage Free page how customs duties are handled. That questions is here.