Yes. Newbie blue ogre, four saphlits and a siren. Or newbie green ogre, four green lits and a alraune. Kill them down to one mask each round, and then store quad blocks of your color in each bottom corner, and a few spare at the top, and then you are ready to do either two aoes or three normal attacks as needed right off the bat at next round.
I get about 80% success rate with that setup, the RNG will still occasionaly say, 'haha - fuck you' and give you two divine masks on a 2 turn swing timer as the last round - this is easier if you have your own mermaid/alraune so you can bring a friend viper, neptune or succubus, but I have shitty luck on the accounts I'm trying to get masks on ;p
You can also go with your regular team and a shiva helper, charge up shiva and store orbs on first round, then when shiva skill is up, use it and one shot each round after ( the shiva debuff doesn't tick down unless the enemies get a move, which they won't if you one shot them )
Also, in general - fuck the mask dungeon - 18 runs later and no mystic mask, looking like my amaterasu is going to miss another week evolving at this rate 8(