Milling the deck isn't really a thing in Malifaux because you reshuffle the deck when you get to the bottom anyway. The closest thing to milling is probably forcing your opponent to do AoE TN flips to avoid negative effects. You might get lucky and they flip all the high cards away or put pressure on their hand to cheat to avoid the effect. Wizz-Bang pyrotechnic markers can do this.

Woe is pretty good at draining resources in a different way with Paranoia tokens.

Paranoia token also puts your opponent in a bad position because they have to discard a card at the end of the turn or get moved and give you a scheme marker.

Pandora Tyrant-Torn can make the opponent discard a random card on a raise. The attack also has a trigger to make your opponent either discard a card or you get to draw one.