If you have Dragonite with Dragon Breath/Dragon Claw, just use that. I find it to be more effective and fun way to fight Suicune when we had it. And longer lasting too! I usually use Zapdos (we didn't have Raikou at that point) to soften it, followed by an Exeggutor, then 2 Dragonites with DB/DC in a row. The rest are depending on whether or not other raiders are enough in quality or quantity. If not, I usually stick a Blissey at the end just so I don't get KO'd before Suicune konks out.
EDIT: IME, due to its elemental properties, Zapdos will die quickly while also dishing out a lot of damage on Suicine. They essentially canceling each other out but because Suicine is stronger in CP, your Zapdos will die quick. So I won't recommend putting Zapdos towards the end of your line-up. Put it first up.