In the end I decided to shove it on the Jones & Shipman 1300 EIUR Cylindrical Grinder and take the shank down to 25 mm. I rarely use this machine, so there's a bit of a learning curve each time I do. Actually using it is easy, but getting work ground parallel is another matter. As it's working to tenths of a thou you only have to breathe on it and things get out of kilter. Work is mounted between stationary centres, and the work rotating mechanism spins round the centre in the headstock.
Mounting work involves moving the tailstock, which returns 'almost' to where it was, requiring table corrections. Years ago I made up and laminated a table of error corrections, which I dug out today and it got me out of trouble

It's a question of taking a cut, measuring both ends of the work, applying a correction, then starting again. Easy with this shank as I was reducing 32mm to 25 mm so room for lots of iterations !