When I bought my land here in East Texas, I was very excited to find out that I had hogs on it. Now I'm way past the point of dealing with hogs and could care less if I ever see another one. I shot two the other day out of a group of six, but then as the ran away, another group of ten to twelve joined them!!!! The damage is never ending, and no amount of shooting will accomplish anything. The local Biologists suggests trapping them with large pens and one way doors, then killing all of them that get caught. There is some talk about a certain type of poison becoming legal here, but I don't know if it will happen or not. Eventually I hope to fence in my land to keep them and coyotes out.
As to dealing with their damage, the easiest, fastest way that I've come across is to back drag the area with my loader bucket. It pulls the dirt back into the hole and smooths it out in just a few minutes. I guess a box blade would work too, but I've never cared for them.