So I decided to line the backs of them with scrapbooking paper. This way I could hide the mess, get some extra interest into the piece, and it would be cheap and easy if I wanted to switch it out in the future.
Handy dandy scrapbooking paper pad
I selected two patterns that I liked
And opted for the one on the left, as it goes better with the tone of the wood
I cut the paper to size, and taped it to the glass from the back
And it turned out lovely!
And it still looks this great! I'm surprised how well it's held up, and now couldn't imagine it without the paper detail. The bonus? A friend pointed it out sayin that was such a neat feature and asked me where I got the TV hutch. Score.