Hi!
I dont know the structure for this layout, but I sometimes want a module showing on all pages but one.
The way I usually solve this is to make an custom module. (you can call it nomodule).
Assign this module to the page where you want to hide the menu, and to position "hidemenu".
(You can call module and position whatever you want...)
Wrap the menu in your template with this code:
<?php if(!$this->countModules('hidemenu')) : ?>
**** CODE FROM TEMPLATE HERE ****
<?php endif; ?>
Would that solve it for you?