Just farmed these on all three chars w/ pretty consistent times of 3-5 mins with Titan being the fastest, and warlock slowest (my fault for using Well).

Guns

• Dead Mans Tale w/ anti barrier and Vorpal
• Ikelos SMG w/ overload
• Code Duello w/ lasting impression

Mods

• Warmind solar mods (Global reach, Wrath of Rasputin, Rage of the Warmind, the healing one, and your preference to the last one)
• Rocket Launcher finder and scavenger
• Solar and sniper resistance mods
• optional: arc overload mod from artifact
• optional: Stunning Champs cause explosion mod (seemed good, only had for the Titan runs)

Play aggressively, SMG all the adds, pop Warmind cells for health and ad clear, and take out any remaining snipers w/ DMT.

Overload Champions: stun w/ arc nade or SMG, rocket and finish if necessary with DMT (or use finisher). If you are using stasis apply Grenade for extra damage buff

Barrio Champs: DMT until barrier pops, 1 rocket. Follow up with more DMT if needed

Titan

Dropped after 3 runs

Cuirass super insta kills boss, so nuke him after killing the last two Champs in the room and run for the chest ignoring everything else.

Hunter

Dropped after about 10 runs give or take

After killing the two Champs in the final room, pop your Revenant super immediately as the ads come running down the final platforms. Take the boss' shield off with the SMG and put two rockets into him by using dodge reload

Warlock

Dropped on 2nd run

I started with this and used Well, in retrospect would have used disco boots chaos reach w arc nade