The gopro I borrow has a flashing light when its on. If yours does makes sure to put a piece of tape over that to keep you from being busted.
You can just shut it off in options. Also you can shut off the sounds. When I get home If i remember Ill take a photo of how my gopro is set up for hunting.
Painted camo.
Waterproof case.
Hole drilled in the side with external mic for higher quality sound.
So making it not waterproof but water resistant. Good enough if Im walking around in the rain.