One of the bigger problems you'll face employment-wise is that, if you're going to a non RG uni, chances are you don't have AAA/AAB A levels. A lot of firms filter applicants on that basis.
But I've seen people with firsts from non-RG unis get to good firms and good sets at the Bar. Often they have a master's degree from a more prominent university.
I was tempted to take the intellectually pure approach to this, that it's worth studying whether it gets you a job or not, but I gather it is career opportunities that interest you.