Idea: Random skins

So as a long time player of league I have collected plenty of skins and I own more than one for many champions and enjoy showing off my variety of skins in each game so I propose a selection in your skin menu while in champion select that would say "random" and would pick a random skin that you own for the game that way you get to use all your skins without having to switch it every game. I would love to know what people think of this idea as I have not seen it on the forums before.