I'm so sorry you're going through this with Bentley. I agree with advice from members above, I would have him checked out at the vet. I understand what you are going through, and also the worry you have at Bentley eating wood and sticks.
My male Bulldozer doesn't eat much from the outside other than stray napkins, or food wraps, but inside the house is another story, he loves textiles, he has swallowed 4 socks, a dish cloth, paper towel and Kleenex. He's always been able to pass these by either pooping them out or throwing them up. I can't give him any blankets, pillows, soft or stuffed toys as he will eat them. Blossom doesn't eat stuff in the house, but she eats everything she can find outside. I'm always having to watch where she walks and be a lookout for objects that she will eat, or I constantly have to take things out of her mouth. She also likes to eat wood chips and sticks, and she loves loves pinecones of all things. She also eats leaves, flowers, berries from trees, grass, and ABC gum. Last year she started eating cigarette butts which are really hard to deter her from because they are everywhere. These guys are so quick and they are truly Bully Goats.