Not quite the same thing, but I use and recommend Denon DN300Z, which is a CD/SD/USB player with Bluetooth capability. It will play back pretty much anything you can throw at it, and the Bluetooth functionality is great for shows. I can leave the player at FOH and still run it from stage, and it's great when someone wants to play something off their phone but their phone can't plug in normally for some reason (thanks Apple).
I'm guessing that either of the products you linked to will give you the results you're looking for, but I've never used those particular models. I like the fact that the Switchcraft doesn't have protruding switches, but the Rapco can run on battery, which may or may not be good for you.
As stated, Bluetooth has too much latency for anything but general playback. Getting a signal to a speaker wirelessly is possible, but a cable is always better (and much cheaper).