I'd probably suggest just using a rack shelf. You can put a Velcro sticky pad on the shelf and the bottom of the pi case so that it stays fastened down but can still be moved if required. You'll obviously have lots of spare space on the self which you can use for cold spares, more pis etc.
Something like this. There are lots of different types and brands though. Get whatever depth you think you'll need.
google 1U rack shelf
for example: https://www.amazon.com/StarTech-com-Server-Rack-Shelf-CABSHELF1U/dp/B005G2JFEO
Is this the shelf you picked up?
EDIT: Do you mind sharing a photo of your setup?
That's the rack mount kit, not the actual DAC. I use this.