OP, I haven't read the entire thread, just the first few and last couple.....
I am afraid that all Grads are now fighting for a small pool of "crappy shitty jobs".
DD has a first, and an Oxbridge Masters. She is currently working in retail, who employed her as permanent staff following a temp xmas role. Its NMW. Its not her dream job, but it gets her out of the house, and hooray, it is a lovely gentle and nice group of people that she is working with. A good introduction to the workplace. Edited to add.... it wasn't advertised, she saw a card in the window and popped in.
Edited to add also....DD is a national competitor in a strength sport, she trains pretty much every day too, and manages to have a job. No excuses.
In her field, most jobs are now volunteer, and others are part-time, or require a PHD for not much more than NMW salaries.
Its shit. But your dd needs to just get in there. My niece, who has a similar background to your DD, except she has a first and a masters, has recently started with the NHS on an entry position lab post.