Does it have to have functioning drawers? Melamine might work. It's the white stuff they use in closets laminated on particle board. Here's a link with several types of laminate:Wilsonart
I have no idea if any of this stuff off-gasses anything harmful to prints, and as Henry pointed out in the wonderful video, no one knows what hasn't been measured. But I don't think the break-down chemistry produces oxidizers. An open front with perhaps a nice roll-shade to keep out light would eliminate the space required for opening drawers and/or cabinet doors while increasing the air circulation inside each compartment.