So Narrow escape works on characters discarded from decks, from hand or frow shadow area, right? Because NE does not say anywhere how the characters ended up in the dead or discard pile.
I use Nute the barbarian to discard half of my deck and play Narrow escape. Puff, 10 characters are in play for me. Put only renown characters in the deck and you will win the game with one challenge.
/Or just give Nute a power icon, accompany him with a raider, boost the strength and play We take Westeros! - enemy deck is discarded. Period./