In terms of prestige I would tend to agree with the the rankings quoted above. My understanding is that Durham is perceived, after Oxford as one of the best less quantitative English degrees. (Ay Scotland has a couple of very well regarded departments as well.) It attracts strong and rounded applicants who don't want to spend their lives pouring over equations, as well as those who want to stay in the north. Those suggesting Bristol may be a bit behind the times. When they expanded the department they lowered the maths entry requirements.
However it is all a bit angels dancing on the head of a pin. All these Universities are on the radar of the sort of employer who gives weight to where you took your degree.
She should look closely at course content, especially third year options, and consider why she is studying the subject. If she wants to get a good generalist job (Civil Service fast stream, a non quant job in the City etc) I would say Durham or Bath, the latter because of the year in industry. There is a lot to be said for a broader education and for treating economics as a humanity. If she is interested in a forecasting or economic analyst role, she should look at the options available at Bristol and Durham (Durham has a very strong maths department but I don't know the extent to which economics UG can access their courses. Bath too, but when we looked it was seen as unusual for students on their management focussed course to want to) and pick as many statistics/econometrics/maths courses as they can, and then possibly look to taking a Masters.
From what I have seen from friends children, one of whom has done very well following a Durham degree, the BA/BSc thing does not matter at all.
In terms of lifestyle Bristol is beautiful and a major party city. Bath and Exeter students can get a train/bus to Bristol for a big night out, and Durham students go to Newcastle. How close to the party do you want to be? Ditto both Bath and Durham are lovely historical smaller cities, and Exeter is surrounded by lovely countryside. Bath and Exeter have strong sport (swimming and hockey spring to mind). A decade ago we stayed overnight in Exeter, started early and walked across the campus (hilly) and talked to people in the admissions team, drove to Bristol where we had lunch in the Economics faculty, then on to Bath where the head of admissions was kind enough to talk to us and also kind enough to suggest that their course, though very good, was not right for DS. It is about an hour's drive between each.