Mull for Snowchugger, Frostbolt, and Water Elemental. From there just hit his face with one freeze every turn. Eventually he will clear your board and play Magmaw. By this point, you should hopefully have drawn a Blizzard. Use Frostbolt on his minions, not his face. You want an Ice Block out and 2 Molten Giant in your hand around turn 8. This is when his board gets pretty hard to deal with.
Use Acidic Swamp Ooze when his weapon gets to about 7-10 damage.
Harrison Jones can be subbed with just about any other freeze effect.
Due to the release of League of Explorers, I have added Animated Armor to the list due to the AI abuse. I personally don't enjoy abusing mechanics like this, but this deck is here to help people who just want to be done.