I hate to put a damper on your trip...........BUT, the sad fact is it's pure luck when shipping your guns & ammo. The luck factor has to do with the agent your working with. Most have no clue to the fine print of their own company rules. Most assume your a terrorist as soon as you tell them your checking in a firearm.
Heres a few reasons that I ship my rifle & ammo to the outfitter I'm hunting with.
Gun cases abused on purpose, to the point of putting a 12" gash in the conveyor belt material covering my metal case. I TRIED to cut it with a quality knife, AUS 8 Japanese razor sharp edge and I could hardly scratch it.
Gun case pulled OFF a flight, even though I checked in 3 hours early, & told the rep my hunt would be ruined if the gun did not arrive with me. I waited at the ticket counter 45 minutes as the very helpful agent waited until the baggage manager called him back and assured him my gun case was the first piece on the plane, tightly secured. I damn near gut arrested when I arrived and the gun had been pulled.
Trying to explain to the idiot agent that it was not possible for the airline to deliver my gun the next day to me was priceless. The concept that I would be several hundred miles away from the airport the next day could not compute in his skull full of mush. It got even better when I told him the 50th time their WAS NO! &%$#@^ ADDRESS at my hunting camp! Telling him the only way he could find my destination would be with a GPS, ATV & a BOAT!
The only thing that saved me from the law was the Airline Manager that just came on duty remembered me well, from the many ACC basketball talks we had every time I flew in. He did fly me back and refunded my money. He had been told that any firearms related problems could not be comped!
As for storing your ammo, the general rules has pretty much been ammo stored in the original case, in a lockable container inside your luggage, NOT in your gun case. I hand load everything, and have always carried my ammo in MTM type ammo boxes, taped shut in a small metal box. I had one jerk with a huge attitude that surfaced as soon as I checked in the gun. He did not like me taking the time to duct tape my hinges, handles & locks, after he approved the gun as unloaded, ready to ship. I was the only one in line, so time was no problem. After I finished securing the case with tape, and explaining to him I was saving OTHER peoples luggage from possible damage, if one of my hinges was yanked loose. I think that made him angrier, so he wanted to see the ammo. He told me no way that was the original box. When I told him it WAS the original box, since the ammo was made by ME, he really got hot. Once again, the Police were called in. Luckily the cop was a gun person, and explained to the bozo that it was indeed an original case, and was MUCH more secure than ammo stored in the card board box supplied by ammo mfgs.
You might have no problems at all. I have taken trips and had clerks thank me for printing out the firearms regulations, because it saved them time, and a few even told me they had no clue what the regs were.
Checking into Canadian Customs stopped me from hunting Canada. Toronto customs were rude, even at 2am and not another person in Customs. They gave me 30 minutes of grief because I did not know the name of the "Town" I was hunting in. I was being picked up by a friend, and the only thing I had been told was we were driving 3 hours north of Toronto, and there were no pubic roads within 50 miles. After a 20 hour day of delayed & missed flights, I finally told them to please let me go or arrest me, you know everything I know. ( I know know I should have obtained the information on where we were hunting. That was my first trip and I had no clue how anti gun the French Canadians were ) The funny part of that trip was dreading the flight back out of Quebec. All I heard from my friends during the hunt was how the Quebec natives hated Americans, and were so bad that the rest of the Canadians hated them! I went right through customs, and the very nice lady in customs noticed I have trouble walking, and summoned a attendant that carried my luggage and gun case to US Customs. She didn't even look in my gun case, telling me that Americans were the best people in the world when it came to taking care of their firearms, and knowing the local laws!
What have I learned from all the above? Cover your butt. Print out ANYTHING that might apply to your gun plans. Be nice, if you can. It usually works. If it doesn't work, and you KNOW your in the right, and have proof in print, don't let them bully you. Demand to see a manager. Slowing down the check in process is the airlines worst nightmare.
But, to be honest, ship your firearms if possible. Let you guide fire your gun as soon as he can in case the scope got knocked out of place. Not having to lug around a heavy gun case makes your travel time so much easier & stress free that it's well worth the effort.
Good Luck