I know this question is a bit old but here is a working solution to organize your files anywhere except the root phone directory
First In Your build.gradle file, implement the SAF framework's DocumentFile class:
implementation 'androidx.documentfile:documentfile:1.0.1'
Next Call this method which request permissions for the SAF to operate (You will only need to do this once on user install):
 private void requestDocumentTreePermissions() {
    // Choose a directory using the system's file picker.
    new AlertDialog.Builder(this)
            .setMessage("*Please Select A Folder For The App To Organize The Videos*")
            .setPositiveButton("Ok", new DialogInterface.OnClickListener() {
                @RequiresApi(api = Build.VERSION_CODES.Q)
                @Override
                public void onClick(DialogInterface dialog, int which) {
                    StorageManager sm = (StorageManager) getSystemService(Context.STORAGE_SERVICE);
                    Intent intent = sm.getPrimaryStorageVolume().createOpenDocumentTreeIntent();
                    String startDir = "Documents";
                    Uri uri = intent.getParcelableExtra("android.provider.extra.INITIAL_URI");
                    String scheme = uri.toString();
                    scheme = scheme.replace("/root/", "/document/");
                    scheme += "%3A" + startDir;
                    uri = Uri.parse(scheme);
                    Uri rootUri = DocumentsContract.buildDocumentUri(
                            EXTERNAL_STORAGE_PROVIDER_AUTHORITY,
                            uri.toString()
                    );
                    Uri treeUri = DocumentsContract.buildTreeDocumentUri(
                            EXTERNAL_STORAGE_PROVIDER_AUTHORITY,
                            uri.toString()
                    );
                    uri = Uri.parse(scheme);
                    Uri treeUri2 = DocumentsContract.buildTreeDocumentUri(
                            EXTERNAL_STORAGE_PROVIDER_AUTHORITY,
                            uri.toString()
                    );
                    List<Uri> uriTreeList = new ArrayList<>();
                    uriTreeList.add(treeUri);
                    uriTreeList.add(treeUri2);
                    getPrimaryVolume().createOpenDocumentTreeIntent()
                            .putExtra(EXTRA_INITIAL_URI, rootUri);
                    Intent intent2 = new Intent(Intent.ACTION_OPEN_DOCUMENT_TREE);
                    // Optionally, specify a URI for the directory that should be opened in
                    // the system file picker when it loads.
                    intent2.addFlags(
                            Intent.FLAG_GRANT_READ_URI_PERMISSION
                                    | Intent.FLAG_GRANT_WRITE_URI_PERMISSION
                                    | Intent.FLAG_GRANT_PERSISTABLE_URI_PERMISSION
                                    | Intent.FLAG_GRANT_PREFIX_URI_PERMISSION);
                    intent2.putExtra(EXTRA_INITIAL_URI, rootUri);
                    startActivityForResult(intent2, 99);
                }
            })
            .setCancelable(false)
            .show();
}
Next Store some Persistant Permissions:
    @Override
public void onActivityResult(int requestCode, int resultCode, Intent data) {
    super.onActivityResult(requestCode, resultCode, data);
    if (requestCode == 99 && resultCode == RESULT_OK) {
        //get back the document tree URI (in this case we expect the documents root directory)
        Uri uri = data.getData();
        //now we grant permanent persistant permissions to our contentResolver and we are free to open up sub directory Uris as we please until the app is uninstalled
        getSharedPreferences().edit().putString(ACCESS_FOLDER, uri.toString()).apply();
        final int takeFlags = (Intent.FLAG_GRANT_READ_URI_PERMISSION | Intent.FLAG_GRANT_WRITE_URI_PERMISSION);
        getApplicationContext().getContentResolver().takePersistableUriPermission(uri, takeFlags);
        //simply recreate the activity although you could call some function at this point
        recreate();
    }
}
You can call the documentFile's rename method on the correct file
DocumentFile df = DocumentFile.fromTreeUri(MainActivity.this, uri);
df = df.findFile("CurrentName")
df.renameTo("NewName");
You Can also open InputStreams and OutputStreams using your content resolver because of the persistant URI permissions granted to your content resolver for that DocumentFile using the following snippet:
getContentResolver().openInputStream(df.getUri());
getContentResolver().openOutputStream(df.getUri());
InputStreams are for reading and OutputStreams are for saving
You can list files using
df.listFiles();
Or You can list out files using:
public static DocumentFile findFileInDirectoryMatchingName(Context mContext, Uri mUri, String name) {
    final ContentResolver resolver = mContext.getContentResolver();
    final Uri childrenUri = DocumentsContract.buildChildDocumentsUriUsingTree(mUri,
            DocumentsContract.getDocumentId(mUri));
    Cursor c = null;
    try {
        c = resolver.query(childrenUri, new String[]{
                DocumentsContract.Document.COLUMN_DOCUMENT_ID,
                DocumentsContract.Document.COLUMN_DISPLAY_NAME,
                DocumentsContract.Document.COLUMN_MIME_TYPE,
                DocumentsContract.Document.COLUMN_LAST_MODIFIED
        }, DocumentsContract.Document.COLUMN_DISPLAY_NAME + " LIKE '?%'", new String[]{name}, null);
        c.moveToFirst();
        while (!c.isAfterLast()) {
            final String filename = c.getString(1);
            final String mimeType = c.getString(2);
            final Long lastModified = c.getLong(3);
            if (filename.contains(name)) {
                final String documentId = c.getString(0);
                final Uri documentUri = DocumentsContract.buildDocumentUriUsingTree(mUri,
                        documentId);
                return DocumentFile.fromTreeUri(mContext, documentUri);
            }
            c.moveToNext();
        }
    } catch (Exception e) {
        e.printStackTrace();
    } finally {
        if (c != null) {
            c.close();
        }
    }
    return null;
}
Which will run faster than the df.listFiles() method
Src (This is my own implementation but here is the original SF question)
Renaming Video / Image While Targeting Android 11 (Api 30)