Can't speak for hunting other countries but have done fishing trips in Moz, RSA and Angola that required a lot of travel logistics that included firearm storage. This was the latest, all handled by Shawn at Gracy Travel and went off without a hitch including the firearms part. For those with trepidations on emergencies, I used Ripcord, but Global Rescue is another option.
A fishing trip in Angola then back to RSA for a cull hunt in the Northern Cape. In a couple segments the itinerary had to exactly match the cull hunt's PH in RSA and
@Trogon who were also going and on other flights before the meetup at Citi Lodge, and then some of the remainder of the trip.
Emirates: Dulles, Dubai, layover, Joberg.
Meet & Greet and then hook up with Bruce, Gracy's Man About Tambo
Out of SAPS like a dose of salts. Used Gracy online SAPS firearm import forms, easy peasy.
Overnight Citi Lodge, Storage company picks up firearms. Citi Lodge stores checked bag with ammo.
Airlink to Luanda, Angola
Four days fishing
Airlink to Joberg
Overnight Citi Lodge, Guns delivered to Citi Lodge, retrieve checked bag with ammo.
Airlink to Kimberly
PH pickup, ten day/night cull hunt
Back to Kimberly
Airlink to Joberg
Emirates Joberg, Dubai, layover, Dulles, shuttle to hotel, drive home.
IIRC, it was around three weeks and 50+ hours in the air total. Somewhat of a burnout but memories that are priceless.
Thinking about Africa? Use Gracy, enroll in a travel insurance like Ripcord and "Just do it"!