Pucks without CYA aren't available. Pumps that can handle bleach and have a reasonable level of control are pretty expensive. The downside to any chlorinator is that chlorine demand varies widely from day to day depending on many variables.

Regardless of how you chlorinate, you should check your chlorine level often, and adding a shot of bleach as required doesn't really take any extra time over the testing. A Salt Water Chlorine Generator is the easiest method of chlorination that has few drawbacks. Initial cost is the main drawback.