Blowing OUT? No wonder you're having a problem.
You should have the same number of fans blowing out, as well as an equal number of fans blowing in, or air grilles for intake air. For instance, on my box, I have the PSU fan blowing OUT to the rear. I have a case fan blowing OUT, blowing to the rear. I have a duct on the side connected to the CPU fan, sucking IN. I also have a grille at the front of the PC, for air to be pulled IN.
Two intakes, two exhausts.
You need:
1. PSU fan blowing OUT.
2. 1 case fan on the rear, blowing OUT.
3. 1 case fan on the side, blowing IN.
4. 1 case fan on the front, hopefully, blowing IN. If you do not have a grille on the front of your case, then have the other case fan blowing IN as well.
What you seem to have been doing is trying to blow hot case air out, but not letting enough cooler room air in.
Tom