eroush · 2389
Keep minions around for card draw and to power up Cat's Head Amulet.

Bring them to the precinct with Hunted then wrap them up in Legal Trouble. Hunted is helpful for fishing minions with nasty "When Revealed" text and instead just "put it into play" to avoid those effects.
Hold either Hunted or Legal Trouble with Contingency Planning until the tools to continuously stun or confuse a minion are available.
Banshee and Blindspot keep them confused. Otherwise, bestow a bit of Battlefield Benevolence. Keep B &B on the job with First Aid.
Feline Senses clears side schemes to stun one, perhaps stun another simultaneously with Stealth Training. Infiltration is tailored-made for exact thwart. Might even find another minion at the same time.

Meanwhile, Beat Cops are quietly whittling down side schemes to eventually put those minions down for good. Lock the worst of them up in The Raft.
Manifold helps bring in player side schemes, especially Build Support and Superpower Training in the early stages and Lay the Trap to close down the villain.
If all else fails, just hit those minions Upside the Head.