Is it possible to name a set of folders in the Find in Files command (using the SDK)?

In a VS2012 (or 2013) extension, I created a command that assigns a list of folders to the EnvDTE.Find.SearchPath property and then launches the Edit.FindinFiles command. This works fine: the dialog is pre-populated with the list of folders. However, the list has the name <Unnamed folder set>. Is it possible to assign a name to the folder set using the SDK? In our application, the set will generally have eight folders or more, and it is dependent on properties of projects in the solution.
 Our extension implements a custom language with its own project type.

Thanks,
Mike