Dealers with 01 FFLs usually ship USPS (the mail). In fact, I strongly recommend making friends with your LGS and then if you have to ship a gun, they MIGHT be willing to mail it for you if you show them it is unloaded and pack it yourself. Even if they charge a fee, the total parcel post charge plus the fee could still be less than the UPS or FedEx charge, and possibly more convenient.
Jim
Jim