The best gun in the world while hog doggin would be the one that stays in the truck or at home!!! Now if I was hunting hogs without dogs I carry a Marlin lever action 35rem. Guns in the woods with dogs = trouble, I will not cut my dogs loose with anyone that is carrying a gun. JMO
Plenty of people bay and shoot over their dogs on a daily basis without having "trouble". Even with cur dogs.
My personal opinion is a small carbine lever gun in 357 45 lc or 44 mag. In a side arm, I would say whatever you are most comfortable shooting. 22 mag seems to be real popular as a carry gun.