I wouldnt park at a public access and leave my truck with a great option like Everts right there.
I have had people rummaging through my vehicle too many times at public access points all over the place. The more remote the access area, the worse problems I have had. Several broken windows over time, stolen stereo, speakers, change, spare tire, fishing equipment… heck, someone even stole my truck battery at one access after they took my jumpers and tried to get their vehicle started by jumping off my parked truck. My jumpers were laying on the ground, but the battery was gone.
I always used a private or more protected access these days when they are available. I havent heard of any issues in Red Wing, but I gaurantee(sp?) there is someone out there that has interest in what might be in sportsmans vehicles unattended at the access in the middle of the night.
Nothing is guaranteed safe anywhere, including private property… but its a lot less likely to have an issue not sitting out unattended in a public place.