Hey there!
The fact that cooler radiators would fit in or not depends on what the case is and basically how big and spacious it is. Also to some extent to the heat sinks on the board'S VRM on the top and around the back panel and all. That board has some bulky heat sinks on the VRMs. I think you might have a problem with that cooler in that case, especially with RAM.
People actually do fit radiator and fans in front of their cases if possible (it's mentioned here by Corsair, 28 and 36mm radiators must be attached to front side) but then they'd have to take any existing fans out from there, which in turn disrupts the optimum air flow in the case which is usually intake at front and side and exhaust at the rear and top. This also depends on the cases space in the front and whether it has drive cage in the front bottom section.
Corsair website actually says you can fit a 240mm radiator to top:
http://www.corsair.com/en-gb/crystal-series-570x-rgb-atx-mid-tower-case
But the motherboard and RAM clearance maybe an issue.
The Corsair 570X does not have drive bays in front but you have to take out at least two of the front LED fans to put the radiator there, maybe even all three fans, which I think more or less defeats the purpose of buying that case in the first place.
I think it's a bit weird that Corsair did not take RAM clearance and top space into consideration for their own cooler.
Unless you can read around the web and see someone has used exactly same cooler in this case with those RAMs.
Is this a gaming rig? What is your monitor? What CPU and what PSU do you want to get?