51 minutes ago, Bombastinator said:
Still curious what case is being worked with as per @narrdarr’s point. It could well be that your case is just awful.
No front intake, but it does have floor and side intake. Looks like fan support is 80mm for the rear and side, and the feet are small enough that the floor intake is essentially non-functional.
With that in mind, a case upgrade will likely do more to help than a CPU cooler upgrade.