Given the way kinetic damage works in-game, I could see them bringing in something similar to whatever rep involves fighting Elachi (Iconian, maybe?). Those enemies have strong ground shields but weak health, so kinetic damage works best on them. Going with the notion that the reputation set involves stuff that works well against that particular foe, the TR-116 or another generation of it would work well.
Drip and drop - little by little - dil by dil - credit by credit - mark by mark - grind without the pressure.
Take it easy!