Have been thinking about this. Schema therapy would say that the vulnerable child and angry modes are different- the role of the healthy adult is to reparent the vulnerable child, and to moderate the angry child. Think the Antz book (ST for BPD) talks about this

So it might help to identify which mode is coming out, and whether the angry child is a defence for the vulnerable child?
My T is strict on no touch but unconventional in other ways. Things that have worked for me in terms of reparenting:
Each year, T asks me what I want for my birthday present.
*For my birthday two years ago, I asked for a blanket. It is a bit of a 'security' blanket and I take it wherever I'm sleeping. I wrap up safe and warm in it and feel enveloped in T's love and care.
*For my birthday a year ago, I asked for a doll. T chose one with my hair colour, with its own coat, scarf and hat. I take it to sessions and T holds it in her arms like a baby (I got this idea from Hankster- thanks!). When I'm putting my shoes, coat on etc ready to leave, T puts the doll's coat on and gives her a hug and a kiss. I have the doll on my bed at home and just seeing it reminds me to take care of myself and what I'm actually dealing with.
*T has also recorded me 'stories' (about things we have done together etc) and I sometimes play these falling asleep.
All of this has lessened over time and I do feel much more 'grown up' than I used to. These days, I am more likely to care for myself than to turn to T. I think I have internalised her voice, as I talk to myself much more kindly these days. I am also practising some 'compassionate hand' type exercises, and did this in session with T's hand so I could remember the warmth and care, and recreate it myself.
Re the angry child, I sometimes find it helps to have a (kind) giggle at her together. For example, a few weeks ago I was quite upset with T and she was talking about how one day she will come to my wedding. In angry child mode I blurted out 'Well you're not invited!' and she caught my eye and we both ended up laughing because it was so stereotypical of when I was small and we were all 'well you're not coming to my party'

Importantly, I am always the one to spot the humour, and I never feel that T is laughing *at* me. For you this may not be helpful. I wonder whether you could use an approach like that of IFS to ask the angry child to step aside, so that your T can access the vulnerable child?
Hope this mish mash helps a bit!
