Thing is I'm not even sure if that's possible. Apparently the menu to determine an armor type doesn't even have a named dropdown menu.
I thought it might be possible by acting like an Enchant type spell.
Is this possible with the CK? Or maybe with SKSE as well? I only found at best, to change the armor rating, but I was hoping to change the type so that it's possible to use any armor graphic that you like aesthetically and changing its type so it works with your bonuses - mostly for the Unarmed/Unarmored mods, as there are very few 'clothing' mods where the armor isn't Heavy or Light. I was hoping this way, it's possible to be visually more interesting with more options while maintaining the Unarmored gameplay.