NoahVale - I haven't read the whole thread.
It is worth checking to see what kind of bursaries or scholarships may be available, as these often go unclaimed if no one thinks to look for them.
If she goes to university in a cheaper part of the country (i.e. one of the northern cities) then self-funding will be much more feasible as her rent will be a lot cheaper. That said, if she is smart enough to get into somewhere like Oxford or Cambridge then she should not be dissuaded in favour of going somewhere with cheaper living costs. That would be a false economy.
I don't know what stage your DD is at but I would really suggest that you let her live at home for a year after she finishes school, work full-time and save as much money as possible. Working in the university holidays is also a good plan. If she gets a decent job for a year before she goes, she may well be able to go back and work there in the holidays. (That's what I did.) I wouldn't recommend that she does a part-time job during term time if she can possibly avoid it, because it could affect her studies. But obviously some people have no choice and have to make it work.
While she is still living at home, teach her to budget properly. She needs to be able to understand how much money she has in her bank account, what she will have to spend on unavoidable costs, how much is left after that, how long it needs to last her, and so how much she can spend each week. Also, make sure that she can cook. Being able to cook cheap, healthy meals from scratch will save her a lot of money compared to buying pre-prepared meals or getting takeaways.