Several gunsmithing companies have milled Model 629 cylinders for moon clip loading .44 Magnum/Special. A few competitors have used them in local matches. Similar to .357 and .41 Magnum moon clips the draw back is expensive easily bent moon clips. Full moon clips for rimmed revolver cartridges are so thin that they are easily bent while filling and emptying them. Even slightly bent mainspring energy is wasted flattening them out before ignition. Around my neck of the woods competitors that buy custom guns lighten their double action pull to the point that the mainspring will only reliably set off Federal primes so you might not find it problem with a stock mainspring.
No other moon clip loading revolver is as fast to reload as an N frame .45. Round nose bullets and thin walls between chambers allow the moon clips to be tossed into chamfered chambers with a slight spin with the process in your peripheral vision. Moon clipped .357s are slow because longer cases result in bullet noses further out of alignment and you have to look at the cylinder to get them all in the chambers. Using shortened .38 Special brass helps. Also, locally, in our "revolver friendly" matches the 7th and or 8th chambers have to left empty so the cylinder has to be closed carefully so the first loaded chamber rotates up behind the barrel. The advantage to .357s is they can be loaded down to recoil less than a spit wad.
One of our best competitors uses a Performance Center Model 686 six shot .38 Super. That's a classy match revolver.