In Media Library Pro version - you may create menu item to any category with help MediaLibrary menu.
In free version you may create menu item to some category with so:
- Create menu item to all categories
- Go to category - where to you wish create alone menu Item, and save URL to it
- Go to Joomla menu manager and create menu item with TYPE "External link", set as LINK - URL - what you save before
- Set for Menu item to all categories ACCESS to Special
Exactly so you may create menu to any media search results
The administrator has disabled public write access.