I don't sell a gun very often, but when I do I don't ship using a FFL from my end unless the buyer insists on it. I ship to a FFL as required by law, but not from one. If your hometown FFL won't receive from a properly identified individual you need to find one who will. There's plenty of them out there. The only way I will ship from FFL to FFL is if the buyer insists on it and the buyer pays for it. When I ship direct to your FFL the buyer is going to save up to $50.00 on my end for not having to pay my FFL.
Let's get some clarity, please. So many folks get wildly confused here, let's hash this out a bit.
If a non-dealer ships a handgun to an FFL, this is legal but
only if the shipping method is anyone other than USPS. And for most that means UPS or FedEx. And UPS and FedEx rules require shipment by air. Also must be noted that the receiving FFL must agree that he is willing to accept a shipment from a non-dealer. His business, his rules, nobody gets to tell him otherwise and
many FFL's don't want the hassle of accepting shipments from non-dealers. Your mileage will vary based on each individual FFL.
On the other hand, if you have a good relationship with your local FFL and he is ready, willing and able to ship a handgun outbound for you, he can ship via USPS Priority which costs him about $15 if I recall. Most small shops that offer inbound and outbound FFL transfers will send a handgun out for you for $35 or $40.
Shipping a handguns via UPS or FedEx and using their required air service isn't going to happen for $35 or $40. You could ship through UPS or FedEx at the basic ground level and simply not tell them what you are sending, but you will have zero recourse if it is lost or damage. USPS Priority insures to $1,000 I believe.
While it is legal and possible (if the receiving dealer allows) to ship a handgun without using your FFL for outbound, I can't find any good reason to do so. Your answer might possibly be different if you don't have a local FFL that you know and trust, but I can't imagine any way that you can ship a handgun yourself for $35 or $40 without breaking UPS/FedEx rules, leaving your shipment at risk.
Is there anything I have missed or gotten wrong here? It is
illegal for a non-FFL licensed dealer to even attempt to ship a handgun via USPS. Not the case for long guns, but this is law for handguns.