@ Wiktor
re: The detail view looks wrong
Navigate to the Connections : Settings admin page and click the Display tab. Disable the single template option (off by default).
If you are using the list_type shortcode option then you need to navigate to the Connections : Templates admin page and click the Organization template type and then activate the cMap template.
re: Is there a solution to hide the country name?
The only way to do this would be to edit the template files for the cMap template so it will only show the children of a specific category … assuming you put the countries under one parent category and the collections under a different. If you are able to edit PHP I can give some guidance.
re: Is it possible to show an icon for the collection instead of the collection name?
Sorry, no not at this time. If you’re good with PHP, I suppose you Enhanced Categories extension could be modded to do icons. I would not be a simple change but I think it should be doable.
I hope I have answered your questions thoroughly!
