Q: May a nonlicensee ship firearms interstate for his or her use in hunting or other lawful activity?
Yes. A person may ship a firearm to himself or herself in care of another person in the State where he or she intends to hunt or engage in any other lawful activity. The package should be addressed to the owner. Persons other than the owner should not open the package and take possession of the firearm.
If I was flying back, I would just check it in baggage.
Edit: BTW, is this a handgun or rifle? If handgun, take it on the plane definitely.