935s are a great mic but over yourr budget... but would be my go to recommendation, Ive never really dug on Shure 58s in both beta and non beta variants. The 58 is an old design - trusted maybe, but tech has moved on to far superior products.
If you want to lower the budget from that a bit and get closer to the £100, I'd look at Heil PR22UT, if not PR20UT. The only other mic I would really consider under the £100 mark is the Audix OM2 and the AKG D5 (which is an absolutely boss mic despite it's low pricetag).