The other review mentioning Non-Elite Nemesis got me thinking of Karma and thought I'd compile a list of Heroes who can do this clunky combo.
Atk/Sch/Health Minion (Hero)
1/1/4 Beetle (Wasp)
1/2/3 Butler (Deadpool)
1/1/5 Chimera (Psylocke)
2/1/2 Enraged Symbiote (Venom)
2/2/6 Furnax (Groot)
2/2/4 Loki (Thor)
1/2/4 Nanny (Jubilee)
2/1/5 Prowler (Spider-Man)
2/2/5 Stryfe (Cable)
3/1/5 The Lizard (Ghost-Spider)
1/3/3 Thomas Edison (Ms. Marvel)
3/1/5 Warbringer (Nova)
3/2/4 Whiplash (Iron Man)
2/2/4 Yellowjacket (Ant-Man)
3/1/5 Yotat the Destroyer (Drax)
The following minions have undesirable comes-into-play effects
2/1/4 Avalanche (Quicksilver)
1/1/3 Blackjack O'Hare (Rocket Raccoon)
2/1/4 Crossfire (Hawkeye)
1/1/6 Harpoon (Angel)
2/1/4 Living Laser (War Machine)
2/2/6 M.O.R.B.I.U.S. (Sp//dr)
3/1/4 Pyro (Iceman)
2/1/4 The Green Gobbler (Spider-Ham)
2/1/3 Topaz (Domino)
3/1/4 Vulture (Spider-Man)
Which is a longer list than I expected. Obviously there are a lot of other good cards that deal with non-elite minions, but getting an ally out of the deal seems pretty sweet to me.
At first glance the best ones to take are Yotat, Warbringer and Lizard, surviving two uses of their 3-atk. Stryfe and Furnax survive two uses of 2 atk or sch. Closing out the ok-pile is Prowler's 2-1 and Chimera's puny 1-1. Among the single use Thomas Edison stands out with 3-sch, while the Symbiote landing at the bottom of the pile since it dies to Karma's consequential. Funnily enough, none of the undesirables look that attractive in comparison, which makes sense since a CIP effect usually means a lower statline. Only M.O.R.B.I.U.S. is comparable to the higher rungs, but I don't think you want to take 4 Damage while playing Karma.
Now getting your 1 per deck event and ally together? That's just living the janky combo life, baby. Little hint: that ally is an X-Man. And some other friends could help you find elusive events.
EDIT: I AM slightly better at FORMATTING. Added Stats and set aside Nemesis with CIP effects, plus more blurb