Matt, you are teetering on the brink of a slippery slope!
I think (can't quite recall as it's years since mine was removed) the problem is that the standard screw doesn't reach the back of the slide casting so would need an extension which is a bit fiddly. Easier to drive from the front end.
If you were replacing the screw with something longer you might fit a ball screw to get rid of most of the backlash as well as being easier to drive. A non-PXF S7 can only accomodate (I think) an 8mm ballscrew, mainly because of the diameter of the nut which won't fit the "tunnel". Those are available but expensive compared to larger sizes like 12 or 16mm, and need a bearing at the back as well. This is the approach taken by cncyourmyford.
I use a 12mm screw but in a PXF machine which has a much larger tunnel, and I have the nut "turned round" so the parallel section that normally locates in a bored hole projects out. I drive it direct from a NEMA stepper with an Oldham coupling.

As you see I've fabricated a new bracket.
Once you have a stepper on the cross slide you'll need to be careful not to slide down the full CNC rabbit hole, though I can tell you that it's very nice once you're in!