How do you heal uncoordinated groups?

[Thawwing Light]

Partly, Treesh, but my understanding is that you play your priest with a tank who is trying to keep aggro

It's very different when even the warriors would prefer the healer to have aggro than themselves
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If you're running with Warriors that are that terrible, the answer is quite simple: let them die.

If you find anyone that will consistantly pull hate off you and try to play as a team, heal them. I don't care if it's the mage, team players should be rewarded and idiots that think it's a game of 5 people solo deserve to give the ground a fresh coat of blood.

Educating them, as you said above, is slow and frustrating. I'd recommend picking a good stable of friendly, competant tanks (and anything else, but for priests, you need tanks) and duoing/trioing with them if you really, really need some group action.