Thread rack mounting??

I have a couple of those June Tailor thread racks that you can mount or stand on a table top. I want them mounted and there is absolutely no pre-drilled anything in the skinny wood to put screws or nails through. The JT site seems to suggest that you put big nails in the wall and hang the top row off of those--surely there is a more secure way to do this without ruining the holder. Thoughts?

You could attach picture hanging thingies. Metal triangular picture hangers? I might just put two screws through the wood into the wall though. You won't notice them once the rack is full with thread. Good luck.