Success! Gloves, safety glasses & patience are a must!
Small, straight jaw vice grips solved my problem. I clamped hook at the start and half way around, clamped it again. Cumbersome, but the spring stayed in position as I coiled it around. Each wrap, holding the spring down tight, remove, adjust & re-clamp the vice grips. After a few wraps, the 2nd vice grip was not needed, which made it easier. Eventually, the remaining coil is small enough that it doesn't fight back & can be put into place. Grease it all & reassembly from there is straightforward & easy.
Hopefully, this will help someone else.