My only experience with CPVC in chilled water service was where it was direct-buried. I didn't engineer the system, it was unfortunately running right thru an area where we were trying to excavate for a new building. They were uninsulated, 10" lines, and I was assured that insulation was not used because it was uneconomical (no payback on energy loss) and just created problems with soaking up water. CHW temp was 39 - 45 degrees (reset on OSA temp). Note this was Sch 80 pipe. The supply line outside temperature was pretty cool to the touch, but I suspect the statements about economics for direct bury situations are probably true, depending on the cost of power used for evaluation.
Naturally, it goes without saying that despite a full-time spotter, and extensive staking of the lines' locations, we nicked the lines with a backhoe, not even that hard, and quickly flooded the foundation excavation, costing two weeks' work on that, and another weeks' work to repair the lines.