This is a file that I engrave on some of my pens using a 1000 mw Chinese laser.
So I put a Home Depot freebie floor sample in Glowriosky and imported the same file. The GFUI set the image size to the floor sample size (5" W X 3.5" H) automatically. The thickness is .392". I set the Speed to 1000 and Full Power.
It took 9 min 20 sec to print on the GF. It takes about 20 minutes to print on the 1000 mw laser.
Seems like you could rig a support jig to hold it level in machine.
Once the height is established, doing that one line at a time and manually rotating it would work.
Time consuming but workable.