This is a great question. Not sure if there is a way to minimize charcoal flavor when using minion method. However, I had been scoring poorly in ribs in competitions until I bought a WSM and then took 4th place at a KCBS event using the minion method. I guess a little charcoal flavor might not be a bad thing....
Weber 22" Kettle
Jenn Air Gasser
Grand Hall Smoker
Smith & Wesson Pellet Bullet
Fire Magic Built-in Charcoal Grill