Not yet. twenty chars
Card draw for priest isn’t really a thing in standard. You need high-value cards, cards that make other cards, or maybe a few borrowed cards from your opponent’s deck. Warlock is the control class with card draw.
That’s a good point - I hadn’t thought of shadow priest. If it gets support in the mini set, for sure it will see play.
Unfortunately it takes 8 epics that I don’t have. 
I am aware of this, thank you.