Lol if we had a mini herd of dachshund's I'm sure we'd need a much larger place and my SO wouldnt agree to having so many around, but that would be funny to see a bunch of them running all over in the yard!
we have one of our rescue dogs that's really into going on "rounds" around the yard when we let her out and checking every corner and every part of the fence to make sure nothing is getting in or out. The other's are a bit more laid back, but they're also older than her and not as on edge as she is. We won't get another dog till we can at least get a bigger place we're going to be at for a while or are ready to buy.
You're in Arroyo Grande , are you near the national park area? You know maybe you should try looking into different ways to keep the gopher's away like you could get dig where your plants are going, then add in the chicken, then maybe have, some plywood or a sheet of plastic and line it over the chicken wire this way your plants still grow while keeping their roots protected from the gophers. Just a suggestion though, i may be wrong about it working since I don't know the outcomes it'll have on the soil, but it seems like it would work since people have raised beds with wood and plastic in them, never hurts to try