What about this idea - blackout. By that, I mean target one game later in the year (when we've reached our Lowe-est point) and urge people not to wear jerseys or Oiler clothing of any sort, but black. If you support the need for organizational change, wear black. The Oilers used to do a "whiteout" theme in the playoffs (yes, it was more of a Winnipeg thing, but for some reason we did it one year), the blackout concept is the perfect passive protest. You hype it enough, a couple months in advance, and hopefully you get a visible amount of support.
It's too much to ask people to boycott the Oil, mainly because even if STH don't mind foregoing a game at their own expense there are usually charities that take underprivileged kids to games and I wouldn't want to see that program hurt at the expense of making a statement. But if this movement got the right exposure, I could see STH that may have otherwise given up their tickets (out of frustration or disgust) actually going to the game to have their opinion of management recognized.