Hi Martejoseph.
I have a case that is a fairly tight fit, and I have found that in those kinds of cases where you are pressed for space a Closed Loop AIO Liquid Cooler can be a great solution.
The Case I used this in only has two fan mount points, an intake and an outtake both are 120mm in size and really didn't deliver sufficient airflow to cool a traditional CPU block. A Liquid cooler transfers heat away from the CPU to a radiator and when you pop a fan on it it becomes incredibly efficient. What I needed was a small enough radiator to deal with the problem. Now you have three intake fans but one outtake. I'd suggest this 120mm cooler if you can find it...