Hi,
Thanks for the detailed explanation and plots!
First, a couple of suggestions that *might* help get better solutions -- maybe you have already done this --
- add "--crpix-center" (make the center of the image the center of the projection)
- add "--tweak-order 3" (use 3rd-order polynomial rather than 2nd-order for SIP)
- run solve-field twice; the second time, pass the first-round WCS file as the "--verify IMAGE.wcs" argument.
To answer your original question, you should be able to re-use a SIP solution with the
"--predistort IMAGE.wcs" argument.
This has honestly not been tested a huge amount, so any reports of success or failure would be appreciated!
Best wishes,
dustin