If that is what you need to do to have peace in the house, do it. All that screaming can't be good for the cats either. I know that they have been good but the last thing you need is for any of them to get upset and act out because of it.
We are going to try a bark collar. I talked to our neighbors tonight; they have two beagles and they had the same kind of problems with their boys. They used bark collars (and they also have a shock collar). I am pretty much at my wits end with the barking and the carrying on and the behavior needs to be stopped. I can't deal with it. I am willing to keep her and make sure she has a good life with us. But she really needs to stop the barking and screaming because I can't handle it.
I'm sorry....call me what you want. I really don't want to go there, with the bark collar. But it's stressful and it's exhausting. Enough is enough. We are keeping her; we won't give her up. But I need peace, too.
ETA: She just peed on the subfloor in the bedroom. I give up. I just give up. She was last out about an hour ago.
You 2 are great pet parents. Everyone knows it. No one's going to judge you. You ALL deserve to have a peaceful home. I'm so sorry that you're having to go through this. My dog has screaming fits from time to time also. It's the nature of the beast. It's a part of why she'll be my last dog at least for a very long time if not ever.
Hang in there. The new year will be upon us before you know and it she'll start her obedience classes. I think they will benefit her a lot. In the meantime, we're all here for you.