I would be concerned with the number of cards you have that can generate spells to complete the quest. (Since Antonidas is your win condition, I'm not counting him in that list.)
By my count, there are only 8 in this deck, and you need 6 for the quest. With the Coin, not too bad, but without it, I think that might be a challenge. You need to ensure you draw at least 3/4 of your deck (about 21 cards) and have time to cast the spells generated to get there. You might just need a little bit more fuel.