Apparently you shouldn't use FedEx either. So UPS with a "don't ask don't tell" kinda thing is the standard. This taken from WinemakerMagezine in their competition's rules section:
4. All shipments should be packaged to withstand considerable handling and must be shipped freight pre-paid. Line the in- side of the box with a plastic trash bag and use plenty of packaging material, such as bubble wrap, around the bottles. Bottles shipped in preformed styrofoam cartons have proven reliable in the past. Every reasonable effort will be made to contact entrants whose bottles have broken to make arrangements for sending replace- ment bottles. Please note it is illegal to ship alcoholic beverages via the U.S. Postal Service. FedEx Air and FedEx Ground will destroy all amateur wine shipments so do not use either of these services. Private shipping companies such as UPS with company policies against individuals ship- ping alcohol may refuse your shipment if they are informed your package contains alcoholic beverages. Entries mailed inter- nationally are often required by customs to provide proper documentation. It is the entrant’s responsibility to follow all ap- plicable laws and regulations. Packages with postage due or C.O.D. charges will be rejected. "
