It seems like a bold move taking an NFA item out of the country. Especially considering you are relying on the intelligence and mood of the police in the destination country and the TSA officer who clears you coming in. So far, never had any real issues with TSA coming home.

I have hunted 14 countries, most of them more than once and while I have been lucky, I have also been through a couple ordeals that 100% centered around human nature, ignorance, greed/government corruption.