Well, just did a quick listen, try to do more when I have a bit of time to spare. Used my DX90, some hi rez flac, from The Band's Stage Fright and Grateful Dead's Americal Beauty (2 albums I know quite well), and, for fun, All Time Low's "Somewhere in Neverland". To cut to the chase, the Cayin is prefectly capable of driving the 560, lots of juice, bass has cojunas, good impact. It does tend to run a bit bright, though, so if you find the 560 already a bit bright, harsh in the highs as some say, you may find yourself not likeing it as a combination. My initial reaction hearing "The Shape I'm In" was, "too much sibilance, cymbals seem to smear". But, as I listened a while, likely "brain burn" set in, and I still heard it slightly, but less aggressive and offensive, and enjoyed listening through them. The Ray Samuels HR-2 is a much darker beast, gives more body, cymbals less present, but there. Both do good stage (have to listen more to quantify). I didn't listen head to head, but they both seem to power the 560 better then the Geek Out (I have both the 1K and Special Edition, which I thought would have adequate juice).
So there you are, definitely can manage with the Cayin, but if you are very sensitive to aggressive highs (which, as I said, did seem less noticeable to me over time), you may prefer other amplification.