The following workaround is demonstrated in the attached workbook and described below.

Option 1

Set the original worksheet to floating and place a floating text or image object behind the original worksheet. When the original worksheet is filtered to no data, then the floating object will show.

Note: A field must be in the view in addition to having a field on Text. In the attached sample workbook, the field "Blank" is used.

Option 2

Create a dummy worksheet that has the expected text or numeric value that has the opposite filter settings as the original worksheet. Place both worksheets in a layout container on the dashboard. When either worksheet is filtered to no data, then that worksheet will collapse.

Option 3

Add a row to the data source for every unique combination of filter values. These rows can be entirely blank except for the fields used as filters. Then create a calculation that replaces NULL data with the desired value.