Menu Pages link
Ning To Jamroom
You are correct, a page set to show on the site and not the profile doesn't show on profile pages, however you can add a link to that page using the ACP > Core > Tools > Skin Menu Editor and that will add the link to the profile drop down menu. The site pages should be available when you create a new link.
I should add that you can also add a link to the site page manually too, it might look something like this:
<li><a href="{$jamroom_url}/page/##/page-title">Page Title</a></li>
Where ## is the page ID and page-title is the page title.
Hope this helps!
updated by @douglas: 12/29/14 09:23:54AM