Suggestions for flushing

So I have a 1976 Volare, that I'm redoing the cooling system on. The problem is, the coolant is full of sludge, and I suspect the coolant passages in the block are all gunked up. Right now I have the water pump off, and the radiator out, in preparation for new parts, but I don't know what to do about the passages. We tried just running a garden hose through the upper radiator hose, but there was zero flow through. Maybe we just need more pressure? I could take it right down the road to a small garage, see if they can do a flush, but I didn't know if there were any tricks you guys could think of to get it sorted.