Yep the triple rad will fit right into the top of the case no mods required, even for 6 fans in push-pull on the HAF 932 and the ATCS 840. Actually, the ATCS 840 has plastic adapters for that purpose specifically that come with the case.
I have done two builds with the HAF 932. Here is one build with the bay res and using the fill port hole on the 932:
Going under water for the first time, part 2: moving to a new home
And here is another similar rig I built (still using), that uses no fill port and has the tube style res mounted inside:
Water-cooled folding rig
If you look at both of those posts and look through the threads, you will see that I used triple rads with 6 fans no problems.
The ATCS 840 and also the 800D has a little bit more room, but nothing spectacular.
For $160 the ATCS is a great deal, but if USB 3.0 is important then you should get the 932 advanced linked earlier.