My solution is in the DataContext instance (or ViewModel if using MVVM). I add a property that returns true if the Not Null condition I want is met.
Public ReadOnly Property IsSomeFieldNull() As Boolean
Get
Return If(SomeField is Null, True, False)
End Get
End Property
and bind the DataTrigger to the above property. Note: In VB.NET be sure to use the operator If and NOT the IIf function, which doesn't work with Null objects. Then the XAML is:
<DataTrigger Binding="{Binding IsSomeFieldNull}" Value="False">
<Setter Property="TextBlock.Text" Value="It's NOT NULL Baby!" />
</DataTrigger>