Oh, I see. You could try it, I don't think it would hurt your bar of soap. But maybe see if the regular glycerin soap will sweat where you are first. The LCP is, I believe, the same as low sweat glycerin base, which I use for my novelty soaps. I live in NC and even the low sweat will sweat when out at a craft fair if it's not wrapped well.
Just curious, what type of problem are you having with shrink wrapping? People here can probably help you trouble shoot. I know when I first started I would get frustrated because I would always put a hole in the wrapper and have to do it over. It takes some practice to get fast
and proficient at it.