I think the decision to continue would be a complex one. Having a bit more flight time, if it was through easier conditions, might provide time to recover some vs. being very shaken after something like that happening. There could be reason to believe that the icing is isolated. My guess, though, is that the weather checks these people performed were not in-depth enough to give a clear picture of where to expect ice vs. not. If the assumption is the ice will continue and there's an airport you know you can get into relatively nearby, that seems like the option to me. But I would want to know I could get in, preferably on an ILS, not have to do a low non-precision approach that I'd have to go missed on. As with everything, it depends.
The other night flying home from Rhode Island in the Aztec, some ice started accumulating aft of the boots in the clouds, which I was not happy about. Fortunately the freezing level was about 7000 ft (we were at 8000) and it was time to descend anyway, so we got out of it quickly. We also could have climbed, as we were pretty close to the cloud tops. Keeping your head about you is always important - doubly so when you have untested changes in airfoil design with unknown consequences. I agree that when you get into ice it's best to turn off the autopilot so you can keep aware of how the controls feel.
The Caravan is probably especially susceptible to these sorts of icing. 8750 lbs takeoff weight with 675 SHP is a bit on the low side (figure for comparison the Aztec has 500 hp and the 310 has 600 hp for less than 2/3 the weight). You add to it the fact that its biggest use is as a freight dog for FedEx/UPS/etc. at lower altitudes and, well, I'd be surprised if it didn't have more icing encounters than many other planes out there.
Edit: I also wonder how many people get to Caravans without having much experience in other aircraft first, since insurance seems more willing to insure lower time pilots in turbine singles than twins. Reading through the NTSB reports, it seems a lot of it had to do with lack of experience.