Need Help covering back of 4x10 glass whiteboard - help!

I have a customer who we're doing a bunch of stuff for as they move to a new building.
They just threw this at me -

"oh, get in contact with our glass guy because we'd like you to cover the back of our 4'x10' glass whiteboard with our PMS navy"

Any ideas for me on how to do this??? All I can come up with is printing the navy on clear and laminating white to it, but any tiny imperfection in the print or the lamination is gonna show nicely through the glass.

Thanks folks!