Another option if you're alright with having your music player interface in portrait mode. In case your case doesn't fit, there's an easy to remove case in there too:
Update : I've isolated that what I've initially reported as "weird" sound, even with digital volume maxed out, coming out of my GSIII with the Meier Corda Cantate.2 USB was Neutron Media Player. Prior to this I've tested DBPowerAmp and it worked fine, by now I'm using MediaMonkey (Beta version) for Android an it works like a charm, albeit no 64-bit sound shaping (doesn't need it though). Also maybe some Android update fixed the battery management down the line; this one doesn't drain it as much as when I used it with PowerAmp.
Also, using the RND dock to keep it upright, and it works with the generic OTG cable I have. When I ordered it I went ahead and also got the A-Case Superleggera Pro case, which is easy to remove thanks to the rubber inner case. My old (but chipped and scratched up) slim plastic case actually fit when the insert on the dock is removed, but given its condition and that I removed it to try the Superleggera anyway, I decided to use the latter. I might have someone rewire the mini-USB port into OTG, and if I can still hook up the charger to it, so I won't use the cumbersome OTG converter cable (not visible in the pic, but it took a bit of work to keep it from being all over the place), but I'll see if Blue Jeans can come up with an OTG-wired mini-USB to USB-B cable first.