I know this isn't really addressing your question, but heat sink space is less often a factor of the case (unless you have a rather small HTPC type of case) and more a factor of the motherboard, and what components will be blocked/crushed.
What's your motherboard? (And sorry I won't be able to offer any more insight, but hopefully that info would be useful to someone who can help you).
That's one pretty Lian-Li. Beerzombie has a very relevant point, but I think you should be fine. I have a Xiggy and its not as huge as some make it out to be. A cooler that is a beast is an old Tuniq Tower (now that one truly does justifiy some case-fitting/mobo-fitting concerns).
I made sure I had 160mm of space from the top of the cpu to the side panel when I bought my xigmatek and put it in my aspire case. It looks like you have even more space on teh side than I do when I look at how much you have between the top of the pci card slots and the side panel. You should be fine, just make sure you have that 160 mm and you'll be good case wise.
I would have to agree that you need to make sure you have space around your cpu too. My gigabyte ds3 worked just fine.
I looked at your mobo, and I think it should fit just fine on that one. My cooler has plenty of room on my ds3 and that mobo is laid out quite similar. The cooler itself sits kinda high off of the cpu so you have room.