It should also be in a pad locked box like a pelican box or something like that. If you would like I can send you the model no that I used. I took 2 boxes one in my wife's bag, and one in mine. Some input on the number of rounds....you don't need 200. When I go next time the maximum will be 50 per rifle. If you have zeroed everything the most you will use checking it is 10 rounds that leaves 40 left to hunt on and unless you are spending 3 weeks you just don't need it. I took extra .375 as my PH said he could always use some extra rounds.
Lastly spend the money on Gun Import Service. I went in ahead of 10 guys and walked out of there in 5 minutes. My PH said those guys would be there at least an hour. Cost was $105 plus $85 Fed-X charge to ship license. You'll also need to go to US Customs and have your guns inspected and get the form filled out. I did that for every piece of electronic's, camera's we took.