Out-warcry your opponent with flyers and fast spell tricks. Use
Wanted Poster when you can follow up with
Annihilate (opponent is mono justice) or
Slay. The deadly units are meant to hold back and prevent your opponent from attacking, but not completely necessary. Ideally, you will draw a big
Streetwise Informant after a few warcries to make it an easy win. Add in your rares/legendaries that fit the deck strategy!
My campaign decks are all designed to be cheap and easy for new players. Check them out!