mudhen,
Even IF you could reliably kill a Cape Buffalo with a 5.56NATO/,223REM (which I seriously doubt), NO African nation would allow you to try such a "carnival stunt". = Other than the 9.3x62mm (which most African nations allow "by exception"), the minimum bore-size for Dangerous Game is .375.
Fwiw, when one of my "hunting buddies" (She is the President of our TX XB hunting club, btw & has taken a house-full of trophies of all sorts with her XB.) decided to take a Cape Buffalo with a 200# pull XB, the Game Department of that nation REQUIRED her to be "backed up" by a PAIR of Game Wardens, who were armed with .470 caliber double rifles.
(The 2 Wardens were STUNNED when the Cape Buff was hit, bellowed once, took 2 steps & went down, as if pole-axed between the eyes. - The Buff did NOT require a "follow-up" shot & when "dressed out" it was found to have had his aorta completely severed just above the heart.)
yours, tex
Words fail me!