Here is Alabama. And to answer previous questions, this map would ascribe to the rule that each district cannot have more than two county splits.
That doesn't really answer the question. Just minimizing the number of county splits still allows for a ton of choice.
For instance, AL and AZ have VRA issues. Are these addressed in your maps? If so, by what measures?
Other factors include compactness and cores of previous districts. Are they factors? Do you have a maximum population variance? Non-legislative commissions generally have to answer these during their deliberations.