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Hmm, ya, I see - why not just use small cable ties to fix the fans and you only need 2 ties (diagonal mount) for each fan.
 

 
 
 
 

contact a local glass repair business and ask them since you still have a good door hence they can take it as a template. should not be a complicated matter.

you can mount those fan (packs) anywhere as long as it fits - in case of replacement just watch the airflow hence blower/sucker - there is a small arrow printed showing direction.  
https://www.techpowerup.com/forums/threads/fan-direction.44512/

just put 1 (or 2) screws - should be good nuf  
 
TT fan connectors use 1 more pin  - TT wants you to buy the complete fan pack including controller

Your Temp LOoks like a bit on the high side and 5GHz? Your reference score suggests you are close to 4.2 speed/performance
This is my score below and CPU temperature ~60C is more reasonable than yours. Usually people with such high temps forgot to remove the very thin foil from the copper head/surface.

 

So I got around to doing this yesterday. Under CPU-Z stress test, i7700k overclocked to 5GHz runs stable to just under 75C now.. see CPU-Z and HWMonitor screenshot taken together
 

It is fairly simple to unmount the cooler head (4 screws) then remove/clean the old paste from both sides and apply a small blob new paste on the CPU - mount the cooler and that's it.. should not take any more than 30 minutes. No need to remove the CPU from its socket!
Check the case fans and airways/filters too and remove dust mats if needed.
 

It's a geek thing .. 1 computer... 1 cup holder