I can't find a cooler that will do much better that is under 140mm in height. I looked at the Noctua NH-U9S but a video shows little temperature and performance differences.
I think you need to either stick with the WRAITH or consider a liquid cooler if that's an option.
Two coolers that likely do BETTER are the:
a) Be Quiet! Dark Rock TF, and
b) Noctua NH-C14
But the prices were $130 to $165?? (USD)
*Maybe just LEAVE THINGS for now, then revisit later. We should get better coolers for cheaper prices at some point, and as said it's not a huge difference in performance.
(not sure about noise)