you will be after the double nut type if you want a preloaded zero backlash ball screw.
Not necessarily. Most ballscrew manufacturers can supply single nut, internally preloaded backlash free screw assemblies. These have two (or multiples of two) ball circuits ground with a slightl linear offset in the nut & the preload is obtained by ball sizing. Ballscrew manufacturers grade balls in micron increments & use these to get the required preload. We used these a lot in my last employment for CNC use, where they worked well and gave long, reliable service. If they lost preload due to extended use, a relatively inexpensive reball would get them going backlash free again. We initially used PGM screws, then Hiwin after PGM were taken over by THK, who dropped the internally preloaded PGM screw range.
We also used German "Star" brand backlash free rolled screws, which had adjustable backlash obtained by a varying the "crush" on the split ballnut housing. They worked reliably as well & were noticably cheaper than ground, preloaded types.
Bear in mind that backlash free, preloaded support bearings are needed with ballscrews to get a backlash free drive solution.
Nigel B