Those first sketches look like some cheap toy. After a quick look on Aliexpress, I can’t imagine people paying much more than 75 Euros including shipping and taxes to EU. If there’s no track display, I think you should just drop the whole project.
What I would be using a mini-sized cd player...
From a purely subjective perspective I was very disappointed with the Wiim internal dac. I’m using mostly lossless sources and I expect you won’t notice significant improvement if you’re going stick with lossy sources.
When I unboxed my wiim, I first connected my mini to a 80€ Bluetooth speaker...