I guess I just feel that I would be giving up something I know does me good (a day at home) for something that will potentially have very little impact on DD's attitude Again, and I am sorry to be so blunt op, you are expecting your dd to deal with shit that you yourself aren't prepared to deal with. Your mental health was suffering, you dealt with it...it is quite possible that your dd's mental health is suffering, yet you want her to keep taking the hits because your mental health is more important (and yes, I do know that it IS very important)
You cannot avoid parenting your child because you struggle to parent her. You need to be stronger with her, find a way to deal with her issues, and her troubles, not find ways of hiding away from what is too hard. You bought her into this world, and she cannot be asked to remain where she is obviously very deeply unhappy so you can avoid dealing with her.
You are putting adult expectations on a child, that you yourself struggle to cope with. Can't you see that?
When we become parents we make an unspoken promise to our children to protect them from stuff that could harm them...you need to do that for your dd, or you risk her having a life time of mental health issues.
And DS is absolutely fine at the club, really enjoys it. Good. But the fact is that your dd is not enjoying it! She is around girls who are bullying her, and making her life a misery!
FWIW I think you should keep her in A/S club Yep...keep her in a place where she is being bullied! Great idea!! Come on! The girl can't escape these girls in the classroom, and is being forced into a friendship circle with them outside school hours...that is not helpful to her at all!!
Keep on and on and on at the school. Keep escalating as needed, to involve the teacher, head of year, headteacher, governors... Ask them for a copy of their anti bullying policy. The school have encouraged the dd to enter a friendship workshop with these girls...i.e. for them all to be friends...how the heck is any help where bullying is concerned. I would say they are completely failing this little girl, by expecting her, (a victim) to find a way to be friends with her bullies. It is putting the onus on her to get these girls to like her, and to get them to stop. That isn't up to her. Stopping the bullying isn't her job!!
Don't let your MH deteriorate so you end up totally ground down And the deterioration of the dd's mental health??