To be able to purchase the right cooler, you need to know the clearance available for the cooler. So we would need to know the model of your PC Case. Also, if you know which motherboard you have, that would be good to know as well, because sometimes the Ram slots are close to the cpu and can cause issues.
Here's a lineup for you. If your case can take it, you could even look for liquid cooling on your budget, but a traditional Air cooler is simple and works.
The cryorig is good, I would just go with that myself... But I've listed the fancier ones too. Basic differences between these is how far you can push your cpu in an overclock (although the two more expensive options will not yield extreme different results)
PCPartPicker part list /
Price breakdown by merchant
CPU Cooler: CRYORIG - H7 49 CFM CPU Cooler ($38.00 @ Amazon)
CPU Cooler: Noctua - NH-U9S 46.44 CFM CPU Cooler ($57.19 @ Newegg)
CPU Cooler: be quiet! - Dark Rock 4 CPU Cooler ($67.49 @ SuperBiiz)
Total: $162.68
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-12-15 06:00 EST-0500