As someone who previously attended Durham (diff. course, dropped out) I can say it is a great place to be and honest very very similar to Bath (starting 2015).
However if my memory serves correctly, I think business students live on Queens campus? Outside the collegiate network in the actual town/city? You'll be a bit alienated.
All in all, they're both really similar unis, I'd give Durham the edge in terms of overall prestige however. But despite this, if I was in your position I'd be edging towards Bath as you have to take into account the above, and also in a course like business you'd want as much hands one experience as possible which Bath is known for with their placement year.