For Icecrown almost every time depending on your gear level, CD use and healer skill and gear level you will end up dying because of a lack of EH, but I won't get into that since there are already very many threads on that.
In pure EH which is designed for pure physical damage the armor set is better overall with about a 4-5k increase in EH. But you have to consider the Black Heart's proc even though it does add quite a bit of EH but doesn't have enough to make up for the losses and it relys on randomness while in the armor set you have the Glyph of Indom's great on use.
For your pure EH armor set the CSK would be a better choice than the Black Heart since if you include the Black Heart's proc which relys on randomness it still has more EH. I would use the second set for all bosses besides Festergut and Putricide since they are the only ICC bosses at the moment that devalue the armor through enough magic damage to make the stamina set worth it.