Used to be you could ship firearms to yourself. Maybe you still can.
Not an uncommon way to get your firearm(s) to an outfitter when going there on a hunt, for example. An alternative to checking firearms through the airline process (which usually isn't all that difficult, anyway) so the guns could get there in advance, for whatever reason.
Not sure any of that would/could (or still) apply in this kind of situation.
BATFE -- phone call or website -- is generally very helpful for firearms questions.
(Although sometimes you have to clarifiy your're asking about things like "hunting rifle" or "shotgun" or "revolver" or "semi-automatic pistol" instead of "firearm." I've had them at first interpret "firearm" to mean one of those controlled by the 1934 Firearms Act (short rifles or shotguns, fully-automatic "machine" guns, etc.) and that's not at all what I was asking about.)
-Chris