I finally beat Dream Quest as a wizard! Well, I had done it a long time ago on my old iPad, but I have had a really hard time since starting the game again. I feel like I've been trying for months.
A lot of what makes it hard for me is that the wizard tends to not get much in the way of good equipment that either absorbs or inflicts damage automatically each turn. That really adds up over the course of the game. Focusing consistently on the basics of ensuring that average mana in the deck would be able to consistently pay for the spells got me back on track here.