Dought if it was a cat if it got 13 chickens. Has been my experience they get what they want an leave. I would leave a couple of braclets an see what you catch. I would suspect a fox or mink by the pattern you described. Just be carefull getting your sent around the trap an dont catch your poor...
Try oven cleaner just dont leave it on to long. Dont know what kind of paint you have but it worked to get old sponsers off my racecar that are no longer on board.