It's sort of like raising kids. No matter how equal the treatment, they'll end up what they want to be.
Slowing rate of moisture loss by control with wax, paper or other confinement is the least of the problems with burls. If you don't have any regular straight-grained wood in the trimmed chunks it'll never figure out a way to warp, so it's not really necessary. It'll retain its shape in the whole. What will drive you crazy is the appearance of a big bark pocket where you wanted wood later on. Can't control it, so keep your glues and spare bark on hand for fill, and watch that you don't cut through, allowing the east piece to move north while the west moves south. They do that.
Don't wear earplugs or turn on your background music when cutting a burl. You want to keep your ears tuned for the slightest "click" warning you of a discovered crack. Stop, find and secure it, or eat a piece later.
Most of all, be flexible. What you were after specifically may never happen. Make the best of what's revealed. The wood knows what it wants to be.