Ive been fortunate enough to not have many SHTF situations happen while on hunts... the only thing I can think of off the top of my head was our daughter had an extreme allergic reaction while in camp.. but honestly it was handled expeditiously and professionally by the team in camp.. and the hospital we went to in Rustenberg couldnt have been better..
outside of hunting, Ive been unfortunate enough to have been in a number of SHTF situations across the African continent over the years.. I was sitting in Juba in December 2013 when the civil war kicked off.. my team was embedded with senior leadership of the SPLA.. so things got pretty interesting pretty fast...
on another occasion, I landed in Kinshasa literally right as Mai Mai militants were kicking things off hard in the north and the DRC army was scrambling to mobilize to deal with them.. made for an interesting day landing at the airport seeing technicals filled with "troops" in cut off jean shorts with DshKa's mounted in the back racing all around our gulfstream while we tried to get to the terminal..
another South Sudan story... went to dinner one night out in town with another expat that I was working with... something didnt taste quite right, but I figured it was just the spice in the local cuisine.. I was clearly wrong... about midnight I literally (not an exaggeration) started projectile vomiting and shitting to the tune of at least a gallon+ of very putrid liquids all over the place.. painted the floors, walls, and even a bit of the ceiling in the little bathroom in my quarters.. then apparently passed out (complete blackout).. when I didnt show up for a meeting the next morning the other expat and one of our locals came looking for me and found me completely out cold in the middle of the floor of the room.. I woke up a few hours later in a "clinic".. looked around and saw a glass IV bottle (had to be at least 30-40 years old) plugged into my arm that was depositing a clear liquid that had little black flakes of material in it.. according to the Somali doctor (but, I shouldnt worry he assured me, because he attended medical school in Kenya and was a "real" doctor lol..) it was just a bottle of saline to help get me rehydrated..
I promptly removed the needle from my arm (thankfully only about 1/3 of the bottle had been deposited into my body at that point.. and I suppose none of the black flakes made it into a vein since I didnt die...).. and told the "doctor" it was time for me to leave... He insisted that I take a "prescription" of cipro with me.. I had an extremely bad lower GI bug that needed to be killed that I probably picked up in my previous nights meal.. He left and promptly came back with a little brown paper sack with a handful of pills inside that were clearly not Pfizer manufactured pills lol.. Im going to guess someone in a back alley somewhere in Pakistan crunched together some aspirin and maybe some rocksalt and then etched "cipro" onto the tablets 
 
I was bad sick for about a week.. but surprisingly the "cipro" did seem to help a little bit.. I pretty much just drank every bit of fluids I could find all day and night and continued to puke and shit myself for the next couple of days, and then started improving, and was finally able to board a plane and head back to the states a few days after that (where I could get some real medical care)..
There are numerous more.. my biggest SHTF moment was actually in Brazil though, not anywhere in Africa.. so we'll reserve that story for another time and place lol..