Matte laminating without muddy image?

I'm producing some game components and I'd like to add a protective layer to them (soda spills and chocolaty fingers, oh my!). I've tried plain adhesive laminate sheets, but I don't like the shiny glare on them. I've also tried Kittrich Magic Cover, which is non-glare but the matte texturing makes the underlying image seem a bit muddy. Does anyone have suggestions for matte laminating that won't noticeably degrade the appearance of the graphics?

Thanks!