Cooler Master Hyper 212 RGB Black Edition (15.88cm)

This should be enough. I have the smaller Dark Rock from bequiet! for this processor and reach a maximum of 70°C at full load and OC. But good case ventilation is just as important.

Buy a Wraith prism on Ricardo. It comes with the original 2700x or 3700x. Should be available for 25.
(I have now suggested a cheap solution, as your choice of processor prompted me to do so).