For draw it has Dark Wisp and Devour. Amethyst Waystone also serves as a pseudo extra card draw if you don't mind your opponent having an extra card too. The gameplan is to remove the opponent's units while chipping away at their health with your own units. On rare occasions At Any Cost does 12 damage when it's influence cost is satisfied, allowing you to finish games.
Acantha Ascending is quite powerful as her influence requirements are met, while Doctor Zytrom is both a great defender and his summon ability is quite fun to use.
Regarding the market which can be access by Wasteland Broker the selection of cards depends on the particular situation. Silverblade Menace is your go to card if your opponent plays a lot of spells or to play it safe when you still don't have enough power to play the other cards. Makkar's Stranger is great for removal as well as getting an extra card. Mysterious Waystone can be used on long waiting games. Pale Rider's Timepiece is used to regain health as well as a finisher in case you need a flying unit. Severin of the Dark is useful when you're getting a lot of power cards.
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.