So a few things here. Not in order of my personal preference.
1.Suppressors are cheap and available over the counter in South Africa. Check with your PH or a member over there as to ability to buy one when you arrive and what threads it takes. Thread the gun for that Suppressor and get a muzzle brake to fit those threads. Practice at home with both ear plugs and muffs. Install the Suppressor and check sight in over there. Leave the Suppressor with your Outfitter, PH, or at a place lime Afton House so you can use it again on a subsequent trip. Or gift it to someone over there.
A footnote is that you need to be sure you get the rifle threaded for a Suppressor. They are a lot longer than a brake and if the threads are off it can be catastrophic.
2. Buy a titanium or other strong buy lightweight Suppressor and use that instead of a brake.
Do not port the rifle unless it is something you really want. I would not buy a ported rifle.
3. This is what I would do. Install a mercury tube or Dead Mule recoil reducer in the stock. Be sure the rifle fits you properly. If you are reaching to see through the scope, mount it lower or get a pad to raise the cheek rest on the stock. Be sure it has a good recoil pad. These are all relatively low cost and zero negative value to the rifle.
If that doesn't do it and you are concerned about balance of the rifle, add a small recoil reducer in the forend or just add some lead.
@Just Gina is a thin little woman with beat up shoulders that dislocated easily. She was advised to get a 404 Jeffrey because it would not kick any worse than a 375. Well launching a 400 grain bullet produces more recoil than a 300 grain. Of course you can play with the speed which is another thing to consider. If you are shooting Hornady Superformance 300 grain loads, consider something more in line with standard speeds. Even 200 fps will make a big difference in recoil.
But back to the point. Adding weight and especially in the form of a mercury tube. Getting the rifle to "fit". Having a good recoil pad. And having standard proven velocity ammo, Gina shoots that 404 Jeffrey with no problems at all now where it was originally beating her up!
No need for a brake nor a Suppressor.