You mentioned that you have a PGCE and lots of work experience - was that as a teacher? As in, do you have QTS?
I am not sure if your job search so far has been in schools and colleges or if you have already looked wider, so apologies if I repeat things you've explored already.
A 10 year break is a long time, so I think showing you have taken steps to bring your knowledge and skills up to date would help. As I am sure you appreciate, a lot has changed in teaching/training/L&D in the last 10 years - that's accelerated over the last few years with AI. Maybe you could look more widely at L&D roles and consider LPI or CIPD for training. A few times per year LPI offers some relatively short courses leading to certification, eg in designing online training or delivering online training. (Even if that's not exactly what you want to do for work, it will give some transferable knowledge/skills and cut through with employers - I've seen civil service jobs listing LPI quals as meeting their criteria for more general L&D roles.)
Have you looked at any of the professional training organisations, eg BPP, Kaplan etc? They sometimes have roles for supervising apprentices and general learning support or admin. E.g:
https://kaplan-international.hirehive.com/
Would you consider HR or L&D in a business? Or local government or the civil service? Those are places with various opportunities for trainers, coordinators, etc. That also gives you a much larger pool of employers.
You might need to start in a junior/administrative type role to get more recent experience, but you could then work up and into other roles. The advantage you have here is that if you don't need to be working, that presumably means you can afford to work your way back into the field or an adjacent one. Treat it as a long game.