Academic staff here. I'll focus on the south coast because of your location, and preference for the coast. A lot depends on the degree, but think about what worked and what didn't about Bristol:
It's big, so can feel impersonal - look for smaller institutions, Chichester, Winchester, or specialist for the discipline (often University colleges, or colleges rather than Universities).
Campus vs. City - having everything on site rather than distributed departments - eg Southampton has good pastoral services but they are more accessible if you are on the main Highfield campus, Portsmouth has great departments, but less clear 'heart'. Bournemouth is also somewhat dispersed.
Can't comment on Brighton (not great for my area, but I don't know their student services).
Most Universities will talk about access to support in the same ways - reasonable adjustment is a legal requirement after all. But the ways they implement this, and the extent to which they will expect students to be proactive in seeking help will differ dramatically.
You DD should take some time to recover. Saying "This Uni isn't for me" is a tough decision, and a brave one (and in my opinion, many students are too reluctant to make it). Don't get hung up on the research intensive Russell group (if that is a worry), and if possible, use open days to talk to the student services people as much as the teaching teams.
Hope that helps.