Showing Freight at .00 but having a cost

To the list,
How do you go about having a Freight Special charge with no amount for the 
Customer but you actually have a cost associated since your company has to pay 
for it?  Using a type code of a "1" allows you to create it with a cost amount 
but when you try to enter it in an order, you get a "E" error that will not 
allow it to be entered.

However, I still want it to show up as a type 1 Special Charge Amount on the 
Invoice and not lumped together in the Miscellaneous Charges.  Essentially, I 
want to be able to enter a "Free Freight" but still have a cost.

TIA...
Eric