You shouldn't change the spindle length because the spindle length is primarily used to determine chainline.
What you should do is to look for a BB spindle length 122mm, but with a 2.5mm offset*. Then you can use a lipless mounting ring to secure the shorter cartridge BB in the wider BB shell. Not all Shimano left side mounting rings have lips; some are lipless like the Phil Wood, so don't feel like you need to spend as much on a mounting ring as on the entire cartridge BB.
BTW, you may or may not run into clearance issues with the crank butting up against the BB shell (left) and/or Cartridge BB (right), and you may or may not run into the BB shell running out of threads on the left side.
Good luck!
* Assuming 5mm offset is to the right, so (73-68)/2 should be deducted to give the same chainline.