Mulligans
The deck is similar to most decks using the non attack minions. Hard part is to get the combo non-attack minions / silence early – don’t rely too much on them, since it works even without them.
Northshire Cleric … wih enhanced health, doubled and attack equal to armor / healed / constantly offers new cards, … has often delivered a win condition.
In the wake of such a minion using Faceless Shambler on N-Cl for protection and to call for your opponents focus giving a great and cheap taunt minion … is a great choice, since it often leaves your N-Cl alone for more rounds to come.
I have thought of trying a Faceless Manipulator instead of one of the Faceless Shambler, though having two heal-and-get-a-card minion can probably fill your hand too fast. But if can copy another good minion it may be worth the experiment.