All of this.
You can't be doing this on the back of an envelope and a handful of guess work.
You've even said that £32K would give you £3k a month. It wouldn't, it would give you £2666 a month. You can't be doing those sort of 'rounding up's if you are talking about major life decisions like this.
I also wonder why you wouldn't do a PT teaching job rather than working full time in a NMW job.
I have no real idea what annual minimum wage is so that's why I was asking. I understand MW is about £8/hr depending on location, age etc.
I mean - that really is so very easily searchable. But also wonder about your understanding of life generally. If you have a National minimum wage, then the clue is in the name. No, it doesn't vary depending on location.
You really, really, really need to spend some time finding out facts before going any further with this.
So basically asking if anyone gas done this and it's been the right decision.
I'm happy with living frugally. No holidays abroad, maybe camping once per year etc.
As has been asked previously - how old are you, and do you have / are you planning to start a family ? Yes, when saving for my deposit for my first home, I was happy to 'live frugally' and 'no holidays abroad' was fine. for a fixed term though. The idea of never having money to treat yourself (and tastes change, it might not be holidays) for the next 20, 40, or 60 years of your life is a different thing altogether, if you have choices that would give you a more comfortable life.
Decisions I would have taken in my 20s, 30s, 40s would be different from those when looking at retirement. If you are of an age when you are looking towards retirement, then living rurally is something I wouldn't choose to do.