We have answered several Posts on shooting wild hogs over the years. Heavy calibers with expanding bullets are needed for body shots. Even a shot in the vitals the hog can run quite a bit. They have a hide like a Fuel Bladder in a Fighter Jet. Stop leak for a blood trail.
You can take shoulder shots, which will bring them down, but risk damaging meat.
We have used a .223 with SGK 65gr and shoot about 2" below the ear. Have had all drop in their tracks. A lot of them have their legs told up like a " Folding Chair" and just sit down - DEAD. Don't have the adrenaline run through the blood stream to taint the meat. Quick clean kill.
Mind you we hunt hogs at night over a feeding hole in the ground. It's an 8" pipe in the ground filled with fermented corn. When the hogs come in only one can eat at a time. This gives you a chance and time to pick out the one's you want. Shooting suppressed and with NV, we usually pick out the Alpha Sow for the first shot. Usually the rest just stand around and then shoot another.
Any of the 308 cases will work just fine (.243, 260, 7mm08, 308).
We just prefer the.223.
Shot placement is critical!