I like your imagination but I'd like to torture the humans for longer than the quick deaths of the dogs would allow.
If the dogs are in your back yard, by whatever means, and you live within a city municipality, you can usually call animal control and have them hauled away. It the neighbors are trash, they won’t retrieve their dogs (it will cost them). Problem solved. And they might eventually get adopted by someone who will take care, love them, and train them. Additionally, if you are within a municipality, there is usually a maximum number of dogs per household permitted. In my city, it’s less than 5. Call animal control on them. Call the cops for noise harassment. There are many options.
Shoot to maim, not kill. Then they'll have to decide if they can pay a vet to fix any of them or decide to have them put down instead.
Maybe a month of cooking Indian food outside with large fans that blow the smell towards their house?
(post is archived)