I've been trying out a few different teams since the update and this has been the fastest, safest team I've managed to put together so far to auto floor X of this dungeon:
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Vampire Hunter Eddie (On Vampire-Advantage +1 Green) - Great self-heals on this build. If you don't have VHE, I found RTTH Eddie very good up to floor 8 at least. Have yet to try him on higher floors since the update because I think I'll need to max skill him.
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Golden Pharaoh Dog (Energy-Immunity +1 Purple) - Uhm, everything about him is useful for this (and all) dungeons
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Child of the Damned Warrior (Echo-Shell) - My big damage dealer. I think anyone with enemy HP scaling damage could work though.
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Sentinel Chopper (Counter-Shell +1 Green) - A surprisingly great damager/healer for this dungeon! He was key to making my runs safe.
That's been my go-to team recently. I will explore some more easily obtainable comps once I get some other characters skill up
