I don't think you'll get all of that encased. The problem is that the Pi-DAC phonos protrude out of the Pibow audio case already and there are no extension layers to my knowledge that will help with this matter.
The other challenge will be to find screws that are long enough. That said I suspect that resorting to using some standoff may help but that may bring about other issues.
... anyhow, not sure, and no doubt you'll get a definite answer from one of the pirate tomorrow, but my feeling is that fully encasing this setup is not possible, and a solution as neat as I expect you'd be after hard to pull off.
That said, Pibows are such wonderfully flexible cases that I wouldn't be surprised that if you are willing to buy 2 (pibow audio) it might well be possible, if you can find screws long enough (nylon probably out but metal should be available from any decent hardware store).