If I could use my Wind team for this I'd probably be set, even without a Soul weapon (neither my Wind nor Water teams have one right now). Gaia could mitigate both the trigger and Rage overdrive. I could probably bring a dragoon to buff the damage cut to -60% for very impressive mitigation. Once the next batch of Soul weapons come out I should be very well positioned with both teams.

Tomorrow I'll either try a run with my Wind team, or more usefully an attempt to clear in 15 turns with my best offensive squad. Without Shingen's Soul weapon I'm probably doomed to fail the time limit though.