I think for the moment you need to step back and regain tyour strength. She has blocked you, and her dad seems to think he is going to make another school take her, so let him find out the truth. He (and she by default) has cast you as the problem and the idiot who knows nothing, so dont waste your breath telling him anything - let him take the flack for once, let him do the parenting.
This sounds like my DD - although she wasnt violent and, thank god, never left to live with her father. But her school refusal in year 7 and 8, and subsequent referral to a small unit (not a PRU but similar) where she locked herself in the toilets and threw herself down stairs to avoid it, led to a diagnosis of ASD and PDA (at the Elizabeth Newson Centre, by Phil Christie who pretty much was the expert back then)
This led to the rest of the family being diagnosed. I have ASD/ADHD and PDA.
I found alot of support via FB groups for teens with PDA. Im not saying its a definate, but with your own diagnosis and the hereditary element.
with us, DD was home schooled. or rather unschooled. She was a little younger and then she had time to settle, but never went back to secondary - she took GCSEs as adult evening classes, then later a couple more at a local FE college, then progressed through college where the attitudes were different. Her anxieties were coming from the school environment - it doesnt sound as if your daughter's are coming from there - it sounds as if they are coming from living with her father. PDA and BPD look very similar. They can cross over. One can become another if not addressed, and each can impact on each other. The initial driving force can be the anxiety driven by the autism, but the trauma of abuse will feed into this and amplify it. risk taking, sex, explosive behaviour, acting out and manipulating as well as they are able, along with lies and rewriting the truth. All these can be present. As well as violence and agression, especially if told no.
It may be that you need to step back. Right back. Its bloody hard, because you love them, and ultimately however awful and destructive the behaviour, it most likely is coming from a place of fear and hurt. But often, as mum, you are the easist to lash out at, and the easiest to dismiss - she needs professional help to untangle this, and with luck the PRU will make this happen. If you are not there to try to fix it and pick up the pieces then she, her father, and the professionals will have to. Hard as it is, You need to be firm in your love (when she inevitably comes back) but also firm in bouncing the solution back to her and dad.