Paint mask issues

Hi All,
We have been carving signs for ages, we prime & paint the HDU with Matthews paint, let it dry for at least 48hrs and then apply a vinyl paint mask. All pretty standard sign making practice that has worked flawlessly up to now. This time, when removing the mask, new roll (yellow, my supplier calls it Pro Grade HI TACK) we have marks in the paint finish. You can see on the attached photo they are vertical marks, You can't feel them, they have just changed the look of the paint. We have tried gentle wiping with naptha, soap & water, even WD 40. Nothing changes them. Any ideas on repairing this?

Any insight will be greatly appreciated. Thanks, John

 

Thanks Bill & Garth, The fine abrasive route was our last resort also, problem is the sign is double sided 5'x7'.
I will be contacting the mask manufacturer today, I have the lot number, it may be a bad batch.

Ahaag the sign business, when it was good it was bad

 

Paint Mask issue update. Visual800 mentioned getting the sign into the sun. We figured, why not, so we rolled it out into the sun and were amazed to see that in the sunlight the lines were quite a bit less noticeable. It baked for a day and although the lines are still there, and about the same as they were, they are far less noticeable outdoors and un-noticeable from 4' away. We played around with rubbing compound and wet sanding on scrap pieces and decided that route would be a nightmare. The sign is going up as is. I truly believe that a few months of atmospheric dust and the like will blend in the lines.