Just create a shortcut folder(s) on your desktop and store the extra shortcut icons therein.
Actually I have a couple of such shortcut folders to group the shortcuts: e.g., applications, tools, reference links, etc..
Much easier to manage and if I do find myself using one shortcut more than usual I just move that shortcut out of the folder to the desktop as a matter of convenience. Goes back to its folder when not needed as often.
Simple and easy.