EnumPropertyEditor and controlling EnumListBoxDisplayMode

I am using the EnumPropertyEditor to display some enum values to pick from in a property grid.  It is fantastically designed to support switching between CheckBox & RadioButton display modes based on whether the enum has the Flags attribute implemented.  My issue is that I need to conditionally change the display mode from CheckBox to RadioButton for a enum that has the flags attribute and cannot figure out how to properly do this.

Since I will need to conditionally do this for specific scenarios I created my own custom class that inherits EnumPropertyEditor that I use to control the display mode:

public class MyEnumPropertyEditor : EnumPropertyEditor
{
   public MyEnumPropertyEditor()
   {
      // How do I change the display mode for the EnumListBox that will be created for this editor instance?
      EnumListBoxDisplayMode.RadioButton;
   }
}

[DisplayName("Some Display")]
[Editor(typeof(MyEnumPropertyEditor), typeof(UITypeEditor))]
public EnumWithFlags SomeEnumProperty { get; set; }

Any help in solving this would be appreciated.