Hmm... how complex is the design? If it isn't too bad, you might be able to add a stroke of your double hit swatch in indesign/illustrator and set the stroke to overprint. That would stop the trap from doing what it is doing. Otherwise, if it is text that is trapping, turning it to overprint if it isn't already should do it.
I'll poke around the settings more and see what might help out better.
I'll poke around the settings more and see what might help out better.