Right click on the desktop, then select configure desktop, then 'no icons' your icons should disappear.
Now go to System Settings, click on the Advanced Tab, select Session manager, then select 'Restore manually saved session, then save this.
Now restart your computer. The icons should not be there. Now right click again on the desktop, configure desktop, then select 'show icons' You will now have to put your original icons that you want onto the desktop, but they should just stay the ones you now select.
Please report back and say whether this worked or not.
TG