I hate to give the same old answer, but it really just depends on shot placement. I've seen them killed with everything from a .22lr to a .475 turnbull.
The most difficult part is their tendency to not bleed well. Neck shots are a good solution to having to track a limited blood trail.
Another potential problem is how you will be hunting. We hunt at night out here so a scope is a necessity for the light gathering.
I was reading that the piggy's are starting to make their way into the lower part of the state and if it goes like it has in other states may spread throughout the state. Got pics on my trailcam of a sow and her piglet last year... we think that was a neighbors that got loose. Got me wonder though!
I don't think overkill is possible.... but you may want to think twice before taking a heart shot if you plan on getting roasts later. (a neck shot would be suggested)
Any of those cartridges will work just fine. My buddy usually uses a .308 but since he finished the 50 Beowulf last week that will probably be his pig gun.