Let's say I'm using Killer Frost who's been beaten down to her last click.
She has two friendly Bystander pogs next to her. Aunt May and ..umm... Doug Ramsey.
If all three get blasted with Energy Explosion at once, does the death of the pogs activate her Team Ability to roll for healing?
Or does she die first?

Sorry, I just couldn't find the answer to this old chestnut.

She be dead.

Suicide Squad and (old) Fan Four TAs are resolved after the action is complete.

You might want to just try re-reading the TA next time

Suicide Squad: When a friendly character adjacent to a Suicide Squad team member is KOd, roll one sixsided die and subtract 2 from the result. If the result is less than 1, the result is 1. The team member is healed of damage equal to the result. If the team member is KOd in the resolution of the same action as the adjacent friendly character, this team ability cannot be used.

Bah!! And I scoured two forums for that answer before I posted!
Thanks, Normalview.
I'll be sure to avoid the problem now-


-- by not using that overcosted Killer Frost.

It's surprising how often this answer comes up. You've been playing the game for years, and you think you know the rules, and then something comes up that you think is an exception. You check the errata and you scour the forums for an official ruling because you don't want to ask a question that's already been asked, and then you find out that it was right there in the Icons rulebook you never bothered to read.