Op you mentioned your DD was on her "last chance" at school, is this the last warning before a permanent exclusion?
Does she understand what the consequences of this would be? She would likely end up in the PRU which - I hate to sound pearly-clutchy but this is from my experience - basically a training camp for gang life, drug deals and living on benefits.
My D(s)S has had a troubled history and after I split up with his dad he lived with his dad for 2 years and then his dad died and he went to his birth mum for 2 years. During that time he had some major psychological problems due to emotional neglect from his dad and abuse from his dad's new GF, then physical and emotional abuse at his birth mum's. All this led to him having major anger management problems at school and being excluded and by the time I was able to regain "custody" of him the damage had been done and all the local schools to me turned him down and he ended up in PRU.
At first he thought it would be "a right doss" because they have reduced hours but after a week or so he realised that all that had happened was he'd ended up trapped in a much smaller environment with the same horrible chavvy shits who'd made his life a misery at his previous schools.
The vast majority of pupils there were boys and the very few girls were hard as nails types whose finest ambition was to be the girlfriend of the biggest dealer on the block 
DS managed to scrape 4 GCSEs but really that was because I pushed him so hard at home. He was only there for a year and said it was the worst year, school wise, of his entire life.
I can also tell you that employers will look at the name of the school on her CV and know immediately it's the local PRU and chuck the CV in the bin.
I think you have to find a way of making her aware what she could be doing to herself here. She sounds incredibly angry and I'm sure a lot of that is about her dad for not being there, but she can't take it out on him so she takes it out on you. Lucky you! of course it's all magnified by teenage hormone hell as well.
Has she only had problems since she's been at this school, or has she historically had problems throughout?