Stearic acid melts about 160 deg F, so you are once again looking at an ingredient that is troublesome to get mixed properly into the soaping oils. It also reacts pretty much instantly with lye, which can cause any thing from faster trace in small amounts to seizing in larger amounts. And it also is similar to beeswax in that it contributes to hardness, somewhat less lather, and possibly a waxy texture to the soap.
I don't know about stearic causing skin dryness. Stearic is a major component of lard, palm, and tallow, all of which are not considered to be fats that make drying soap. I use it in shave soap to get the right kind of protective lather needed for shaving, but I do not use it in a regular bath type soap for the same reasons I don't use beeswax.
Why do you want to add ingredients like these to your recipe? Just cuz? If so, there's nothing wrong with that, if you just want to try something for the sake of trying it. But I kind of get a vibe that there might be more to it -- that you are hunting around for a quick fix to solve some problem, but not really thinking it through very well, nor explaining it well in this thread. There are many discussions on this forum about the use of beeswax and/or stearic acid in soap; perhaps you will find more answers there?