The Cryorig H7 is a great cooler but can be difficult to find in the UK and might be slightly out of budget. The 212 EVO, despite its age, is a good cooler that fits your budget and will be plentiful. I had mine paired with a 2500K at 4.4Ghz and still use it today on a Xeon E3-1270.
You need to check the height of the cooler and ensure it will fit inside your case.