What are you referring to when you say "opened up the motor 2 minutes before time"? I'm unaware what regulation this breaks. I'd like to know so that I don't break it.
I'm surprised to hear of so many bad encounters with game wardens on this thread. My experience with game wardens in Indiana and Kentucky have been nothing but professional and pleasant.
As to the OP- fight it for principle or pay it for convenience, don't know much else to offer.
Some private lakes may have rules on what times you can go over idle speed.