After 7 tries, I managed a very tattered Fine. With... wait for it... no one incapacitated. Though everyone was down to 2-5 HP each.
Mostly I credit luck.
However, a few things that helped:
Early Smoke Bombs and Ablative Plating. Some games are a damage race. This one is more about mitigating damage. Plague Rat is dealing out damage to everyone, so a fair bit of it is about trying to keep more damage flowing toward the villains.
Buffer Overflowing Glamor. Because there are a few Nemesis cards with this villain team that are near auto-lose for you, Buffer Overflow is a critical card. Though you have to reserve it for the truly nasty stuff. Highbrow’s a high priority target too.
Lots and lots of AoE. SMG is bettter for Ex-Pat than anything else until very late. Particularly when paired with Hollow Points or Incendiaries. Uh, unless an Analyst is out, but those tend to melt fast since they only have 4 HP.
Exploit Vulnerability is pretty good for encouraging Plague Rat to take out fresh minions. It’s not limited either, multiple copies stack. This helps take out Plague Rat’s handlers as fast as they show up.
Some ineffective villain plays, like putting Envenomed Darts on Omnitron who had -2 DR against toxins.
Wrong Time and Place during a turn when Setback had 9 tokens. That’s 9 points of damage my team didn’t take, and 18 the enemy did take (due to Exploit Vulnerability boosting damage). It burns through tokens, and it’s liability when he’s down to 0, so I got rid of it next turn.
Omnitron-X mostly fed plays to Parse (in hopes she’d get some control), or Setback if he had 8+ tokens.
The Tribunal always summoned Captain Cosmic. Plays from his power followed the same rule, Parse or Setback.
Character Witness is an incredibly helpful card, even if it’s expensive in discards. At least Parse got to hand out a mild bonus from Critical Multiplier from the discard. Multiple Critical Bonuses would have been better, of course.
Multiple copies of Silver Lining (played sequentially, not all at once of course). Otherwise Setback would definitely have croaked.
Target order was Freight Train -> Friction -> Plague Rat -> Baron Blade -> Ambuscade. Plague Rat is bad news, but he tends to clear out all those pesky minions and devices too.