I think you need to use the 'layout' parameter:
http://docs.joomla.org/Component_Views_and_Templates
So, your example might be ?template=zzz&layout=otherskin
EDIT:
Another approch would be to create a plugin that switched the content (depending on a parameter in your url) to show the desired template.
Have a look at:
http://docs.joomla.org/Plugin/Events/Content#onBeforeDisplay
This would allow you to hook into the content before display.
You would then be able to access the JFactory::getDocument() method to set the template programatically, using something like:
$doc=&JFactory::getDocument();
$doc->setTemplate("my_template_name");
Good luck!