About half of my place is sand running 1 to about 3 feet deep. It's great habitat for gophers and moles. My Parents place is about the same. I pretty much ignore them, my Dad when he was alive, fought them non stop. This much I can tell you.
As to gophers or moles, its fairly easy to tell which you have. Gophers will have large mounds at the ends of their tunnels. At times you will see an opening in the mound, a good indication that the critter is near and working on that part of the tunnel. They close it up when they move to a different area. Moles only dig enough to get under ground a few inches. Their path is easy to see, as the ground protrudes as they move along. If you step on it is sinks down.
To my mind, moles are not near as troublesome as gophers. The best way to get rid of them is the method previously mentioned. Get rid of the bugs, grubs, and worms in area, their food source.
Gophers, are another story. Most of the feed stores around here sell gopher bait, basically poisoned seeds, or peanuts. You have to find the gophers tunnel and poke a hole down to it, and drop in a few morsels of the bait. Cover the hole without caving in the tunnel, light would keep the gopher away. Gopher eat seeds and is history.
The thing is, unless your neighbors get rid of their gophers, they'll be back. I made my dad a sort of walking stick out of 1/2 copper pipe to make the holes into the tunnel. When he saw one digging, he would go to the area and poke around untill he pierced the tunnel, you can feel it when you hit the tunnel. He always kept bait on hand, and in this fashion he was able to at least control the pests. But it was an ongoing thing. Sometimes I see a new mound starting, and dirt flying up out of the mound. I get my 22, and sit quietly until Mr. gopher sticks his head up. Good target practice.
We had cats when we first moved here. One cat became an accomplished hunter. She brought us mice, rats, birds, and even baby bunnies, but alas never a gopher.
Some of the larger farms and ranches use a device that hooks to the 3 point on a tractor, it is something more than a plow, and it makes tunnels. It also has a seeder like thing on it, that is loaded with the poison seeds. It makes tunnels and baits them. Evidently, the gophers will use these man made tunnels.
That is about all I know about gophers, and thats what I think you have.
Ernie
"I dont like being hemmed up, I think we should march out onto that prairie" David Crockett