I'm aware of http://tutorial.math.lamar.edu/Extras/ComplexPrimer/ComplexNumbers.aspx. It's very detailed and helpful but I'm looking for something with more pictures. It also doesn't have enough problems and solutions.
The Appendix to Calculus by James Stewart has a lot of helpful, revealing pictures. However, it's not advanced enough and there are no solutions to the questions. It should at least cover everything in http://tutorial.math.lamar.edu/Extras/ComplexPrimer/ComplexNumbers.aspx above. Therefore, it's hard for someone to self-study it to prepare for group theory.
Perhaps "Visual Complex Analysis" by Tristan Needham would be a possibility. You might try Google for some web sites. The book has a good deal more than you need.