Alternative Mobile Menu

Hi, I have setup a few pages that I don’t want reference from my main site. These pages are private to my clients and they are given out the following link:

http://www.theperformancestudio.com.au/showcase-2014/

I have used the default template and hidden the footer, header etc an clicked on the enable one page on each of the pages reference from this – I did this to enable me to show a different menu on these pages as I set up a new menu and for ONE PAGE option i selected this menu. Whilst that all works fine for use on the computer, when i go on my phone the menu showing is of course my main menu from my main website.

Is there any way that I can show the menu I want for these pages (ie the one I set for one page webite)????

Or is there an alternative approach I can get what I need to ??

Thanks
Yvette