Dropping BIG bombs on them! New tools from the mini expansion made this into a pretty decent archetype. Very fun and different deck.
Flightmaster Dungar - Very versatile tool. Usually used for your 1 turn dormant to set up for Shadow Hunter Vol'jin but can help set up burst against Priests, Mages, Druids, and Rogues quite well with the 5 turn as well. You shouldn't need the 3 turn path much with this deck but can be life saving against Shaman & other burn decks.
Taintheart Tormenter - SOOOOO useful! Unfortunately, you miss the secondary effects from a lot of the big demons when they are pulled out on an opponents turn or at the end of your turn, but not this bad boy.
Original deck inspiration and science from InfamousGW XXL Demon Hunter