Asari "Commando" Adept is IMO the best for DPS vs Cerberus and on Platinum.
I can keep up and often finish first on the scoreboard vs any infiltrators, Destroyer, Valkyrie or Fury.
Stasis health, warp armor and use a mean assault riffle like the Harrier, Valkyrie or Particle riffle. Don't attempt biotic detonations. It's too slow and enemies dodge too often. If you want to combo, I suggest teaming up with other adepts (although your score will suffer because of the game mechanics favors other powers for kills - aka Annihilation field)
Asari " Bowling Ball" Justicar is SO MUCH FUN vs Reapers but very risky for being sync killed. You need to get close and personal, be constantly mobile and have a full understanding of the enemy combat patterns. It's really hard to keep up with any of the power classes for DPS but I humbly haven't seen anyone regularly beat me with another Justicar build yet...
In stead of luring enemies in your bubble or use pull and detonate with reave, I bring the bubble to the enemy in stead like so:
1. Reave enemies
2. Run and dash in the middle and use warp bubble to detonate
3. Dash away and reave again for a second detonation
4. Dash for cover
5. Rinse and repeat.
I also use a Talon pistol with her throughout the process and it works really well.
Overall, I believe that the Justicar is the weakest asari for DPS but no way is it a boring or bad character. The best Asari for DPS is the Vanguard by a long shot if the map is generous with grenades (such as FB Rio). The Hunteress (long range) and the Valkyrie (close range) are the most reliable for DPS no matter the enemy, difficulty or map.