"20 bore #3 buck: 2-3/4" will mostly penetrate thru and thru on a 250# hog on a broadside shot inside of 30 yards."
Ive never used a shotgun on hogs, but I'm really surprised by your statement after having killed a LOT of hogs with different rifle and pistol cartridges.I'm surprised to hear of a shotgun pellet penetrating more than a 300 gr. jacketed HP from a 45-70, and they sure as hell don't always exit on a 250 lb. hog.
One of my best friends and deer hunting partners has a helicopter and hog eradication is one of the things he does.
He tried lots of different stuff early on but claims that 00 buck is the only thing worth considering.