Push/pull is overrated in my opinion.
I tried 2 fans on my PHTC12DX and it was hotter than running with a single fan. The best results I saw was running a single very powerful fan. I also tried running three fans on my PHTC14PE and it was the same temperature but noisier than running two fans. I also tried running a single fan on my PHTC14PE and it was only about 1 degree warmer than running two fans.
More fans doesn't make the heatsink any better. In fact, because the second fan isn't counter rotating, it can impair the efficiency of the cooler by generating turbulence. Also if you have a second fan on the backside of the heatsink and then a third fan only an inch away that is the case exhaust, you end up with a lot of turbulence without increasing throughput.
There are various tricks to getting a cooler machine that don't involve buying more fans. You pretty much have to use trial and error with each case to figure out the best way. As a general rule you don't want obstructions in front of or behind the fans. This goes for arranging your hard drives if they are behind the fans, or tucking wiring away from the path of air. I also found that removing the unused PCI slot covers reduced my graphics card temperatures. Removing grills can increase the throughput substantially and reduce the noise but are a hazard to fingers. So I don't run a rear case exhaust fan grill. If you must run grills, the best grills are the wire grills. The worst kind are the perforated mesh grills, which impair air flow substantially and generate a lot of whistle noise. I also don't run intake dust filters because I have a room with minimal dust. I blast the case out every 1 to 2 months with compressed air but there is very little dust buildup ever because I keep the room clean, don't have pets, and vacuum frequently. Most importantly I have the case on my desk, which keeps it off the floor. Keeping the case free of dust will reduce temperatures. The great thing about optimizing your case for airflow is it doesn't cost you anything and it reduces the fan noise because you need fewer fans and they run at lower RPM.
Here is an article on grill patterns:
https://www.pugetsystems.com/labs/articles/Effects-of-Grill-Patterns-on-Fan-Performance-Noise-107/
Here is doyll's big megathread on how to run a cool system:
https://www.overclock.net/forum/246...ing-airflow-cooler-fan-data.html#post22319249
effect of filter on airflow:
https://silverstonetek.com/techtalk_cont.php?area=en&tid=wh12_008