Before making a nut, I would check the screw for wear – the nut may be tight at the ends but loose in the middle. Better to find that out now than later.
I made a nut like the link in Rod’s post. Worked a treat. I made it from rectangular pieces of acetal – easier to hold in a vise. One can machine it down to a cylinder afterwards, leaving a collar on the end. The old nut can be bored and the two pressed together, securing with the collar – it just depends on what shape and size of your old nut. If of adequate diameter, one could add pins as well to prevent it turning, if needed. Loctite can help (groove to increase the glued area?).
The link is spot on re backlash – they are very tight and need easing off. Mine was a square thread and needed easing off on major and minor diameters to make it easier to use. I’ve so far only gently reamed it and it is still very tight. I’m going to put a nick on the screw (stone it off afterwards) and try to ease the major diameter in the nut.
This was to replace the spare brass nut, I already had, when mine failed, so not needed in a hurry.🙂 So more of an experiment than a required repair job. Backlash due to a worn screw, with these, may not be quite so important as with a metal nut?