I have a new pair of the Avant MixCubes as well (active). Same issue - noise. And, I run a very clean dedicated 30A circuit just for my monitors - my main monitors being Barefoot MM27s (which have 0% noise).
The ground loop hum was very noticeable and when I applied a pair of humX transformers, it went away - completely! Interestingly, you can go a long way by simply applying the humX to one of the two Avant transformers. This will completely silence the attached monitor and NEARLY silence the second one. But I applied two of them and now these babies are dead silent.
This suggestion came directly from Avant and it worked like a charm.
Oh while on the topic, I really like these things! The Barefoots are fantastic, but I'm finding that a trial mix on the Mixcubes translates even better to "consumer grade" gear especially bass challenged stuff like an iPod. In other words, these little gems really deliver on the goods!