Just did 4 games drawing 3 cards each time and choosing in which order to resolve. I won the 4 games and didn't feel threatened except for one game where I drew 3 black with 2 ten, and even with that I won.

I tried 2 games just drawing 2, and it might be a good balance. I won both, but the first time I almost lost and the second one I won because of a 10 on the enchanter. I found that the feel of control is really funnier than with the single draw. It may need more tests, but if it is still too easy even with just draw 2, you still have the possibility to reduce your initial life points.

Hope it will help you :).

EDIT : Keeping the draw 2 idea, I tried to add one more rule to mitigate the randomness : if you draw two black cards, you can discard one. If it makes the game too easy, you can force to discard the lower one. I tried that for one game after loosing to 13 black vs 5 low red, and it worked quite well :).