This could be overcrowding. How high is up, how far is over there, how much space in feet is "plenty of space"? I've seen several posts on this forum where someone says they have lots of room but the real problem is overcrowding. I find it a lot easier to make meaningful suggestions if I know what you are working with. Otherwise we are just making wild guesses. How big, in feet, is your coop and run? Photos showing your set-up, inside and outside, could be really helpful. Since this is worse when they are confined to the coop and your shoveled run room has to be considered.
I don't keep individual chickens, I keep a flock that can have moveable parts. I manage them for the benefit of the flock.
Snow is not the only thing that can keep them inside. Mine really hate a cold wind. They will be outside when it's below zero Fahrenheit if it calm, but if a cold wind is blowing they are not going to be out there. Wind blocks might reduce the amount of snow you have to shovel plus may increase the time they can be out there.
Some people have some success getting their chickens outside by putting something on top of the snow for them to walk on. That could be wooden pallets, straw, or hay. It's not the snow that mine hate, sometimes they go out foraging in snow for the plants that are sticking up. It doesn't bother them to walk in snow. It's the change that mine don't like. If mine wake up to a white world, that's a big change. If the snow falls during the day and they are already outside, the snow doesn't bother them. I also find it helps if they have a reason to be outside, which probably means food.
To me the best boredom buster is extra room. That's why so many people, including me, talk about it so much. Without knowing what you have already and what you have to work with try adding things they like to do. One thing they do is perch. Can you add some perches? They like to scratch. What scratching opportunities can you provide? Usually they scratch for food so maybe scatter some treats in the bedding.
To me this is an excellent move. I don't know if it will solve all of your problems but I agree to solve for the peace and health of your flock. If they are constantly pecking they are a danger to your flock, worse than disrupting their peace. This could lead to cannibalism. Pecking can be a learned behavior so they may be teaching others.I plan on getting rid of a couple nasty hens who won't stop pecking.
I don't keep individual chickens, I keep a flock that can have moveable parts. I manage them for the benefit of the flock.
I've never seen a rooster take an interest in stopping feather picking. Good luck with that, you never know what might work. And shoveling snow, my back hurts just thinking about it. How much do they go outside after you shovel? Where do you see the worst of the pecking behavior? Is there a specific spot or time?I'm hoping Fabio (the rue) can help with the pecking, but I need more ideas for boredom busters in my coop, there's plenty of space, and I shovel snow so they can go outside, but even then they will peck and peck.
Snow is not the only thing that can keep them inside. Mine really hate a cold wind. They will be outside when it's below zero Fahrenheit if it calm, but if a cold wind is blowing they are not going to be out there. Wind blocks might reduce the amount of snow you have to shovel plus may increase the time they can be out there.
Some people have some success getting their chickens outside by putting something on top of the snow for them to walk on. That could be wooden pallets, straw, or hay. It's not the snow that mine hate, sometimes they go out foraging in snow for the plants that are sticking up. It doesn't bother them to walk in snow. It's the change that mine don't like. If mine wake up to a white world, that's a big change. If the snow falls during the day and they are already outside, the snow doesn't bother them. I also find it helps if they have a reason to be outside, which probably means food.
To me the best boredom buster is extra room. That's why so many people, including me, talk about it so much. Without knowing what you have already and what you have to work with try adding things they like to do. One thing they do is perch. Can you add some perches? They like to scratch. What scratching opportunities can you provide? Usually they scratch for food so maybe scatter some treats in the bedding.