Can a police officer really cuff a person who is not doing anything illegal, in full view of dozens/hundreds of neutral witnesses? I would guess that doing so would invite the officer to any number of lawsuits.
Not an uncommon occurrence in the US, sadly. And I work in law enforcement.
Here is the problem: at the here and now point, it is not the time to argue your rights, protest, etc. If an officer is not judicious in the use of their authority, there isn't much you can do about it at the time, that is what the courts are for. In both this instance and the aforementioned Louisiana issue, as officials we should cooperate as much as possible and once you have reached a point you do not feel comfortable, cease your participation in the contest.
As a law enforcement officer, he is a higher, civil authority. If game administration can't get the problem remedied, it is time to pack your gear and head to the house and let somebody higher up the food chain deal with it. Getting arrested and hauled off to the slammer in some sort of stand your ground maneuver isn't really going to help. You may be vendicated later but is it worth really having to deal with it? Its just a game. If the officer is wrapped that tight you aren't going to fix it then.
I've had officers be very helpful in dealing with unruly fans who are nearing or crossing the line and am always appreciative of their help. I have had one or two in my career that essentially took up for the IDIOT^*!# and those you just have to shake your head and move on.