Hearthpwn

This deck is essentially a mill rogue shell with with AoE deathrattle minions included to manage the board and destroy Illhoof's Icky Imp.

You can mulligan for early game board control, but you are essentially fishing for an Abomination. Illhoof will stop attacking in order to prevent the destruction of his Icky Imp, more or less allowing you to dictate the course of the game. Be aware that Illhoof does have a couple of spells in his deck that can destroy your Abom, so getting one on the board isn't a guaranteed win.

Unlike traditional mill rogue, which uses Gang Up on Coldlight Oracle, you can instead use it on his Icky Imp to create some of your own. Destroy Illhoof's imps with yours to deal double damage to him each turn.

Adventure cards like Brann Bronzebeard and Dark Iron Skulker aren't essential to the deck but do ensure a quicker victory.