I have used my chicken bumblefoot treatment on a duck with success. I use a mix of 42 drops fractionated coconut oil (it stays liquid, unlike regular coconut oil, and I find it makes an excellent carrier oil; the essential oils should never be put directly on without being mixed in some sort of carrier oil first), 7 drops lavender essential oil, 7 drops oregano essential oil, and 7 drops tea tree essential oil. You can reduce the amounts of essential oils for a slightly less strong mixture, though it might take longer to work.
I rub this on the affected foot once (or twice, depending on the severity) per day, wearing gloves every time. No wrapping, soaking, or surgery required, though you can also soak with warm water and Epsom salts to speed the process along. This mixture has reversed even very severe infections in my birds. Mild cases will usually recover in a few weeks, in my own experience. In the case of my duck, she healed up quite well, even with continued access to mud and water. I hold them for thirty seconds to a minute after applying to give the oils time to absorb before I set them down again, if they are going back on damp ground.
This is just what has worked for me. Others will likely have more suggestions as well. I hope it helps!