Hmmm... maybe a dodging mini game, like the monsters will do an attack that you need to press a directionto dodge away from on time then some kind of flee animation to let you know the doors are coming up again, maybe different monsters have a different number of attacks to dodge. You could also consider making it instead of instant death when you don't do a door that you have to face a monster instead, maybe make it a longer monster encounter so it's a punishment instead of a game over.