Yeah sure. You have 1/15th of a chance to draw it every time. Each warrior will have drawn 5 cards with the ability to mulligan 3 or 4 of them. I can't remember enough math to figure out what the percentage chance is there but it's probably pretty high. 43 games might be a bit high but it will tend towards the right amount eventually.
You just gotta work around it. This is why deathrattles are so good against warrior. Can't Fiery Win Axe my Mad Scientist or Piloted Shredder.
You don't have to buy the coins separately. Use the hearthstone app from the amazon store and then buy it in game. You'll only be charged the £17.50. I also got this discount and did this the other day.