Esme, Rot Revivalist

If you would draw a card, instead mill.
Whenever a card is put into your graveyard from anywhere other than the battlefield put an
essence counter on another target nontoken
permanent you control. If that permanent would
be put into your graveyard from the battlefield
exile it and create a copy of that permanent that
has "When you tap this permanent exile it at the beginning of the next end step."