OK, I went for the knob solution. I bought a bag of 2" diameter maple knobs and drilled, counter drilled to match the original design. Bought some longer screws for mounting.
I put two coats of West System epoxy on the knobs and mounted them with new loop lines. The line length was 35" before making the loop. Passed the end of the loop over the standing part and then onto the knob. The lines are held with the standing part of the loop line and the end of the loop passed over the knob.
They look like they will work. My originals were all broken after 25 years.
Pictures before and after:
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