I thought about the Muse. I never heard one though, and I had some experience with the 7000 III. I went the safe route. Let me state up-front that I'm going to be selling my 7000 III very soon (as soon as I can get a digital cameral to show how perfect it is). I have always thought it was a pretty darn good sounding DAC. The Digital Flywheel is very effective at reducing jitter (makes a pricey transport much less important). The analog section is discrete and pure Class A (mode of operation). I was very, very happy with it.
The Muse may be worse, as good, or better. I simply don't know, but you could do a lot worse than the 7000 III. I'm selling it because I bought a processor at over 3 times the price, and, yes, it's better. I held onto the EAD until I was sure about the whole situation though.
Best of luck.