[carguychris]

Now that I've had the time to check the tariffs...

From the FedEx Rules Tariff:

2. Firearms
a. Carrier will transport and deliver firearms as defined by the United States Gun Control Act of 1968, between areas served in the U.S., but only between...[list of parties]

Since antique firearms are not considered firearms under the GCA, this provision implicitly exempts antiques from FedEx restrictions on firearms shipments.

Similarly, from the UPS Guide to Shipping Firearms and Ammunition:

UPS accepts packages containing firearms (as defined by Title 18, Chapter 44, and Title 26, Chapter 53 of the United States Code) for transportation only (a) between licensed importers, licensed manufacturers, licensed dealers, and licensed collectors (as defined in Title 18, Chapter 44 of the United States Code), and government agencies and (b) where not otherwise prohibited by federal, state or local law (i) from an individual to a licensed importer, licensed manufacturer, licensed dealer, or licensed collector; and (ii) from a licensed importer, licensed manufacturer, licensed dealer, or licensed collector to an individual.

Both 18 USC § 921(a)(3) and 26 USC § 5845(a) say that antiques are outside the scope of the regulations. Hence, UPS also implicitly exempts antiques from their firearm shipment restrictions.