Your math sounds right to me. But I also would just print a strip of paper and glue it on. Seal with clear varnish.
On the other hand, I would not use that screw. For the first revolution you will be OK. For the second revolution you can still keep up with the actual measure fairly well. After three or seven or more revolutions you are going to go nuts. You could print several scales on your paper strip:
first 0 - 375,
then 375 - 750,
then 750 - 1125,
then 1125 - 1500,
then 1500 - 1875,
then 1875 - 2250,
then 2250 - 2625,
then 2675 - 3000.
That will take you to three inches in seven turns of the hand wheel and screw. You read each scale in turn on successively rotations of the screw. You could color code them with corresponding colors on a linear scale next to the hand wheel or screw to keep track of which one to use. After three inches the pattern repeats. That's a lot of complexity. Your strip will probably be two inches wide to accommodate all those scales. And I think it will slow your work down a lot.
Personally, I would find a screw that has a more convenient pitch.
Make it fit.
You can't win and there is a penalty for trying!