I would NOT ship a modern firearm to someone who just claimed to have an FFL. My procedure is to place a copy of the FFL holders license (Faxed copies are now OK)in with the firearm I'm shipping and I will only ship to the address on the license. All my long guns go USPS having also grow tired of dealing with the numbnuts at UPS and FEDEX. I don't ever remember being asked specifically what I was shipping even when the size of the package and weight should be a dead giveaway it's a firearm.
Jim

The 2nd Amendment IS an unalienable right.