ICD's = Icy Rage(264 version), Berserking and Ring Proc.
The difference is you are trading an unmodified Divine Storm for an ICD/Speed/AW 1-stack Judgment, and I'm trading an unmodified 0-stack Judgment for an ICD/Speed/AW Divine Storm, and I'm saying the latter is more damage(which is likely due to having a 277 weapon). I still get an ICD/Speed/AW 4-stack and and AW 5-stack in like you do.
As for DS, putting it on cooldown so that it has a chance to refresh immediately strays from the least-clash resolution and it relies on a new RNG metric to "work". I wouldn't suggest it.