Anything low or anti backlash rack and pinion drive will likely be quite expensive.
One option might be to use low or zero backlash gearboxes with helical rack and pinion. But zero backlash gearboxes might be hard to find, and very expensive.
I'm using this on my new machine, but I haven't assembled it yet. I found some uses zero backlash gearboxes for AC servos for $250 each.