Have you considered the University of Edinburgh? I say this because I read on the University of Edinburgh thread that they accept all international students who meet the entry requirements (I would verify this, though, as it may have changed) and Edinburgh is an excellent university, top 15. The only issue would be that Scottish law is quite different to English law courses so I imagine you'd either have to only practise in Scotland or so some post-grad studies.
Another option would be to do a degree in another subject and do a law conversion course afterwards if it's the career in law that you're after. Just bear in mind that only about 10% of Law graduates actually manage to become barristers and solicitors; it's fiercely competitive.