Brushed chrome vinyl on second surface acrylic

Hello, customer is looking for brushed chrome vinyl to be applied to second surface of clear acrylic ADA signs. Avery Brushed Chrome has a grey backer, i.e. the brushed chrome appearance is not on both sides, so I can't apply it to the back of the acrylic to create a brushed chrome background that shows through the clear acrylic.

I assume I would have to apply transparent mounting film to the "face" of the vinyl in order to make this work?

Any other ideas?