Hearthpwn

I built this deck for my daily as a twist of my Paladin Daily Aggro (I stole from someone else).  The aggro synergy is much stronger for this deck than paladin, however.

What I find is that I'm never short for strong creatures, though sometimes it's a healing totem that does 10 damage to the enemy's face.  There's a dozen synergistic ways to do "just a little more" extra damage.

It definitely has a "peak power" because it's aggro, but you'll be surprised how easily it'll do dailies at a newbie tier... which, if you're going for a "mostly free" deck, that's exactly what you're aiming at.