Regarding 4G coverage, as others have mentioned, Edinburgh and Glasgow are well served for 4G and will certainly be fine around the campus areas.
Other uni towns:
- St Andrews (my home town) will have mobile delivered by pigeon once a week...more accurately you'll get 3G but no 4G at all.
- Dundee (my current home) has 4G coverage if you are on EE (T-mobile) but no other provider
- Aberdeen seems to be EE only for 4G too.
- Stirling (my alma mater) has patchy 4G if you are EE.
I'd recommend EE for best coverage over here, I'm on Vodaphone and get great 4G in Edinburgh but fuck-all (some local patter for you there) in Dundee, Stirling, and St Andrews.
Hope that's some use, best of luck to your daughter at uni - I'm sure she'll love it.