I do think that it is a good idea to consider accommodation costs when looking at unis. Not the only thing, for sure, but unless you have £££ to support your DC it is a factor.
I agree with others @mrsnjw that places like Bristol, London, York, are known to be expensive.
Some unis have a range of student halls accommodation for first years - look for SC with shared bathroom. DD was at Leicester and paid £115 a week. DS2 is at Loughborough and paid £100 a week (so £4k a year as the rental is 40 weeks). These figures are a few years ago but the halls are still there and still among the cheapest.
As a comparison, a catered room with en-suite bathroom at Lboro would have cost DS about £10k for the year.
Nottingham uni only has catered halls on campus, with SC halls off campus a short walk away.
Both DD in Leicester and DS in Lboro have found accommodation cheaply in subsequent years. Leicester in particular has a huge range of Victorian terraces within easy reach of the uni at good rates. This year DS2 has paid £5,200 for his full year's rent (not including bills admittedly).
Other places that anecdotally have cheaper options include Newcastle, Leeds, Liverpool, Nottingham for private rentals, Warwick (has a range on campus), Birmingham. I don't know about Keele sorry. Often unis building a lot of new student accomm focus on en-suite bathrooms which cost more, so it's often the older blocks that are cheap.
Loughborough is a great uni btw! maybe I am biased but I have been impressed with it - not RG, but often called RG+, with Lancaster, Bath and St Andrews.