My first listen to a Conrad Johnson in the last ten years was a CA150 (non SE) through a pair of Dynaudio C1 Platinums. I was captivated, and within a few months found a 17LS2 and an MF-2275 (non SE) to pair for one of my systems.
Now I also have a Classic 62 SE. I look at the CAV60 with some interest, but I've been into separates for the most part. The 62 SE has been rotating to drive either 2ceSigs, or Heritage Specials. I doubt you'd be disappointed with the CAV60, or for that matter the CAV45 or the CAV45S2 with appropriate speakers.
The Classic 62SE has the KT120s. It drives my speakers with a richness that the AB solid states haven't quite matched in my house, and I tend to follow the amp to its current room preferentially. There's a slight roundness to the fastest leading edges that seems more accurate to me than the other amps, more correct for acoustics and vocals. The Pass Aleph 5 is somewhat similar in this regard, but a different flavor.
Good hunting!