Read this thread.
http://www.huntingnet.com/forum/tm.aspx?m=1351477

It's no big deal flying with guns. I suggest you bring the ammo that your gun is sighted in with. Put it in a seaperate checked piece of baggage. Knives must be in a bag that you are going to check.

A note adding to the note that the lady gave to mossy. I ALWAYS strap and/ or duct tape my case closed on the ends just to make sure that no one has opened the case. It also will keep the case closed just in case the locks become unlocked somehow.