I have the same problem. My neighbours have had dogs removed from them by the RSPCA because they neglect their animals (including cats). Their response is to go out and get more animals. I have one middle aged Basset Hound and she can smell them next door, so barks occasionally. But nothing compared to the racket next door. All you can do is complain to the neighbour. I know you don’t want retribution, but if you warn her that you find it unacceptable and will report them, perhaps she will be more mindful and take them in the house when they do kick off instead of just leaving them to create a noise nuisance. Most people where I live just phone up the council and report dog barking. Then it’s up to them to prove it is a nuisance, by recording the barking and keeping a record. I personally hate anonymous reporting, as a lot of the time it is malicious. It’s best to try and get on with your neighbours, even though they are being unreasonable.