If you have any idea of serving a dose of lead poison to them, don't contact the owners first. If you do and their dogs disappear, at your assistance or not, you will be the target of their attention and will have created a potential for more stuff to deal with.

Thus the acronym SSS - Shoot, Shovel, Silent.

If the cutover is older than a year, skip the shovel part, and let nature take its' course. Buzzards and possums got to eat something.

Not that I have any experience in this type matter, as the neighbors near the different farms I hunt are upstanding folks who would never turn their dogs loose to run all over God's green earth.