Here are a few things that will make life much easier and wont hurt your cleaning at all.

You should be able to thoroughly clean everything without removing the cylinder stop and its spring, so just leave them in the frame. That way the only very small parts you have to watch are the bolt plunger, bolt plunger spring and sideplate screws all of which should be placed safely aside.

Leave the hammer and trigger assemblies alone after taking them out and just soak them and the interior of the frame with ed's red, break-free CLP or something similar.

The same can be done to the cylinder just remove it from the yoke and soak it.

After you've soaked the parts for a while brush them with an old tooth brush and they should clean up nicely. If not, soak them some more.

You can also spray some gun scrubber or carburator cleaner to flush out the gunk and dirty solvent. This will remove all the lubrication and oil film so just remember to re-lube (sparingly) and wipe the parts down with an oily patch before reassembling.

Flush the oil and solvent from the cylinder's center extractor hole, and instead of re-oiling through there, lube the yoke's bearing surfaces where they touch the cylinder wiping off the excess with your finger. This way you can lubracate the cylinder's rotation on the yoke without having excess oil pool under the extractor star, where it'll attract crud like a magnet. One drop on the ejector rod ahead of the yoke and a couple of plunges of the ejector is all you need to coat the extractor spring and the internals of the cylinder. If it pools under the star you over did it.

/c