Leave the rule. I concur with those who say it's not that difficult to comply; I take self pictures every year by sticking my camera on a short (~9 inch) flexible tripod. Failing that, use a stump.
There's lots of planning and preparation that goes into a season's worth of hunting and to add a camera in the mix is a very minor problem. I don't think that anyone who truly wants to be in the contest would be deterred by a picture requirement such as this.