Jpoole, if it was me I would see if garden hose pressure would push through any of that gunk. At least it would show you what kind of flow, or trickle is coming through the coolant passages. Then shop vac anything up out of the cylinders and wipe them down with a rag with fresh oil.
My cooling system was a mess. Took me over a week of flushes before I saw anything you could remotely call "clear" water. Including a Cascade flush that was amazing at loosening crud. I may very well have coolant passages that look just like yours.
The previous owner took the term "Long Life Coolant" to a whole new level.
Explain Further the Cascade Flush (as in Cascade Dish Washing Detergent)?