Best CPU heatsink and fan???

There are only compromises between keeping fan speeds low and keeping temps low. You can only have that kind of performance by paying out $50+ for a good CPU fan. Hyper 212 Evo is one of the best, but it's loud. Noctua fans are quiet but can't dissipate the enormous amount of heat generated by FX CPUs. FX CPUs run very hot, so fans must run faster, and louder, to keep it cool. There's no way around that.

I doubt you'll find a reasonably priced fan that will be quiet AND keep temps cool. Water cooling is usually the solution to that.

ful name and model of this case also link me to the cpu since it came before the wrath cooler for am4 cpu .

I think you are doomed on several fronts.

1. For starters, FX processors are slow and obsolete. I would not put any more money into that platform.

2. Low profile coolers are inefficient. There are some that will use a 140mm fan that are likely to be quieter.

3. Compaq Presario is not a well ventilated case. You need decent intake capability to be able to feed any cooler and graphics card. a pair of 120mm intakes in front is what I would consider as ok.

4. Noise comes from fans running at high rpm. Unfortunately, an inefficient cooler needs to habe the fan run at high rpm to try to do its job.


What to do???

I suggest you first buy a case with decent airflow.
Make it one with two 120mm front intakes or better.
Have that intake filtered and you will have a cleaner pc.
Make the case wide enough to hold an air cooler 160mm high.
FX-6200 is a 125W TDP processor. More if you overclock.
If you like noctua(and I do) look at their TDP guidelines chart to get a better idea of what you need.
http://noctua.at/en/tdp-guide

It is likely to require something better than a hyper212.

I would not put much faith in a aio liquid cooler either.

My canned rant on liquid cooling:
------------------------start of rant-------------------
You buy a liquid cooler to be able to extract an extra multiplier or two out of your OC.
How much do you really need?
I do not much like all in one liquid coolers when a good air cooler like a Noctua or phanteks can do the job just as well.
A liquid cooler will be expensive, noisy, less reliable, and will not cool any better
in a well ventilated case.
Liquid cooling is really air cooling, it just puts the heat exchange in a different place.
The orientation of the radiator will cause a problem.
If you orient it to take in cool air from the outside, you will cool the cpu better, but the hot air then circulates inside the case heating up the graphics card and motherboard.
If you orient it to exhaust(which I think is better) , then your cpu cooling will be less effective because it uses pre heated case air.
And... I have read too many tales of woe when a liquid cooler leaks.
google "H100 leak"
I would support an AIO cooler only in a space restricted case.
-----------------------end of rant--------------------------

Your pc will be quieter, more reliable, and will be cooled equally well with a decent air cooler.