As I already said in my previous answer to your identical query in another thread, I have asked the development team for you.
https://forums.autodesk.com/t5/revit-api-forum/key-schedule-revit-api/m-p/12143463
There is a BrowserOrganization class in the API, but I believe you can only get the information. There are static methods to get the BrowserOrganization for schedules, sheets and views. There does not seem to be a way to set them. It should be possible to get the element id of the parameter for each level.