I think she is worried about missing London and that sense of being able to slip into being an anonymous person on a city street, not always a student
I think then, that an important part of her education should be getting out of London, and realising that it is not the only way to live. There is such ignorance about the rest of Britain from some Londoners ...
So given these more specific criteria, she should look at Birmingham, Manchester, Cardiff, Queens Belfast, and Leeds, as well as Glasgow and Edinburgh. That is the "big civics" (Birmingham is the original "redbrick"). Although Edinburgh is arguably one of the "ancient" universities. Anyhow ...
These are all excellent universities, with a wide range of degrees, in major cities which cater for students, but not reliant on them.
I can't remember - is your DD looking at an arts & humanities, and social science degree (HASS) or a STEM degree? That broad division might help - I wouldn't necessarily recommend Birmingham, for example, for HASS degrees, although their arts & humanities research & teaching is excellent - but it's a university dominated, in almost all areas of policy, by STEM considerations.
But for engineering and medicine, Birmingham is one of the best in the country. Although for engineering, outside of London I'd also be advising Durham - but that isn't a city where a student can be "anonymous."