I'd go easy on the soaks. A bad shed isn't doing any harm. It's only annoying to you.
Make your snake a humid hide. That will fix your problem. Get some cypress much bedding, coco husk, moss, or any combo. These can be moistened quite a bit and don't mold.
Or you can use an old rag. Just be sure to change it out maybe weekly to wash it.
Put this into a cheap plastic storage box with a lid that you have cut a hole in the top or high in the side of.
Keep this in the enclosure and the BP will use it. The pieces of shed will come off. Don't keep the humid hide too wet. Just keep it moistened and clean. The next shed should be perfect.
If you're having a hard time maintaining humidity, I'd suggest changing the substrate in the enclosure to cypress mulch as well. Completely seal off the top with taped on foil, or wax paper. Leave just a couple inches on one end for ventilation.