82mm CPU cooler options

[Zirax]

I am looking to get one of these:-
https://www.overclockers.co.uk/silverstone-sugo-sg11b-usb3.0-chassis-black-ca-408-sv.html

I have an older 2700X cpu.

There are lots of options but what is recommended cooling in this setup? I do not have tools with me to mod the case, either a slim Noctua or is there an AIO option that would work?

 

[Grimley]

http://www.scythe-eu.com/en/products/cpu-cooler/big-shuriken-3.html

if it will fit.