The only real cost of the deck is Jekk, Mercenary Hunter. His priorities are removing blockers, face damage and drawing cards so it's best to keep a sigil for discarding. There really isn't a budget replacement for all that so the best alternative is a generic 3-drop like Burningcore Drake or Granite Acolyte.
Playing the deck is straightforward: play units and remove blockers with relic weapons/burn. Mulligan any hand without units. You need to bring the opponent's life down before their card quality turns the tide (eg. learn to hate Curtain Call).
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.