Thanks for you interesting in Connections but I really do not have anything available at the moment that would be a perfect fit for you.
The cMap template, actually all of the currently available templates, only support filtering by category. The core Connections code is perfectly capable of making these sorts of queries but that would take custom coding a template to take advantage of that.
There is another more manual method that will work regardless of the template being used.
Go to the Connections : Settings admin page and enable the linking option for both Organization and Region.
With those options enabled those items in the entry will become links in the front end when viewing your directory. Clicking those links would filter the results by the item clicked. You can take advantage of that feature by building custom menus.
Go to the Appearance : Menus admin page and create a new menu. Make sure you do NOT assign it a theme location.
After creating the new menu. Add Links to it by copy/pasting the links from the entries to it. Save the menu.
Now go to the Appearance : Widgets admin page and drag the Custom Menu widget to your sidebar. Select your custom menu you just created and save.
Rinse, wash, repeat.
I hope that helps.