Hey now, I am usually supporting a hooding in cooler weather! No flat bill though!
I think most cameras are stolen not because they want the camera, but because they dont want to be busted for trespassing. I usually set cheap cameras in wide open areas near walk ways, and paths near property lines, so they will easily see them. This lets them know right away that there are cameras on the property, and should deter most trespassers. Now my better cameras are hidden more, and if they made it to my better cameras, they will have passed by several cheaper cameras to get to that point. I will also aim cameras towards another camera so that if someone does steal a better camera, I will get a picture of them stealing the camera. Yes, I do run a lot of cameras, some I rarely ever check, because their sole purpose is for security, and if nothing is missing, I have no need to check the cameras.
This may not work if your woods are thin, and you can wander aimlessly throughout, but that isnt the case in my woods, you may do it for a little while, but you soon would decide that you need to find a trail to get through the woods.