Tbh it kinda looks like an amd style cooler and u are running an intel it probly wont work - well right out of the box so to speak im sure u could fabricate a bracket
I would just try it and find out which is hotter, also the larger the surface area on a radiator, the cooler your CPU tends to be.. lastly, the black plastic should face outwards and you would screw into the motherboard, I don't see any other way of putting it in there.