The key card to get out is Preyfinder and then trigger the draw effect with killer attacks from Yeti Bully, Maveloft Huntress and Brutal Frostlord. There are too few good & cheap Primal killer units which is why I added quite a few flyers to be triggered by Runemarker which turns out to be slow and unreliable. Probably better to skip the flying units altogether, also given it clogs too many cards at 3 and 4 cost resulting in a permanently full hand lacking enough power to play 2 cards per round.
I attempt to recycle cards after they killer attacked with Natural Order, Shapeshifter's Mask and Replication Cell. Not convinced it's a good idea. The Parry however turn out to be useful adding the sometimes needed extra damage to the killer attacks and add survivabillity.
The ShiftstonedEternal Power Calculator is a deck-building tool that visualizes your odds of drawing enough Influence and Power based specifically on the cards found in your deck.