If you have a brand new screw then you could fit a double ball nut to have no backlash, but if the screw has seen use and has some wear in the centre part the double ball nut will not wok due to it not being resilient enough to take up the slack in the middle section.
A double ball nut has a hard precision spacer fitted between the two halves to give a precise preload but that only works properly on a new screw that has a consistent pitch and an unworn one at that.
If you have a used screw ….with some wear.....then fitting two single ball nuts flange to flange with a resilient hard rubber spacer, like an "O" ring, between them is the answer to your problems of backlash and it's completely DIY with off the shelf standard components.
The spacer will keep the preload on for the newer parts at the ends of the screw and the less new part at the centre...…...even a new screw with a single new nut can have some backlash.
Ball screw and nut manufacturers won't ever do that because it allows extended screw life for a worn screw long past it's use by date and that is lost revenue to them.....do the sums.
This effect is how an Acme threaded screw and a bronze nut with a spring loaded back up nut works, but ball screws can carry more loads without the friction.
Ian.