I use a nice quick solo team that has the added bonus of allowing you to full auto the first 3 phases :)
Zader, TP, Tarkin, Jyn & Darth Nilihus
Jyn & Tark provide more than enough TM reduction that you can stick it on full auto for p1-p3, you take a couple of hits but nothing that stops you solo'ing. Then DN doing 5% annihilates gets you through quick, as per your original request.
Full auto 15-20 mins p1-p3, manual p4 5-10 mins
Speed sets on DN, Jyn & Tark
Crit Dam on Zader & TP
Not whale mod sets either, average, all add 75 - 100 speed max. Has made my life so much easier to auto!