https://www.google.ca/search?source...hUKEwjKjquIs5_nAhXxmeAKHWjqAKkQ4dUDCAc&uact=5 check this to get a good one in your budget .
Cryorig H5 Ultimate CR-H5B Middle Range CPU Heatsink with XF140 Fan <--- would this work?I would not use such a basic cooler with a 9700k. I would definitely want a beefier air cooler (Noctuas tend to be the most dependable choices here) or a liquid cooling solution that at least has a 240mm radiator. Intel CPUs tend to be the hotter ones these days as Intel tries to squeeze every last ounce of performance out of 14nm.