Don’t use ColorChecker software (despite it being a little more misalignment-tolerable), use dcamprof and work around its alignment tolerance issues. Since dcamprof can work with images that have had geometry correction applied to them and X-Rite’s software can only work with raw images themselves, it winds up that you have more flexibility with dcamprof once you’re willing to fire up Hugin.
As to how to do that: Use Hugin to defish the reference image before feeding it to dcamprof. This requires that you manually add a linear ICC profile to the reference image after export, or export it in a different manner that includes an appropriate ICC profile, otherwise it’ll be almost impossible to see what you’re doing in hugin: Reference TIFFs are not tagged with an ICC profile that indicates linear data · Issue #5575 · Beep6581/RawTherapee · GitHub
Even with defishing in Hugin, I don’t trust the automatic patch detection, use the -F option to scanin to provide coordinates of the fiducials: scanin
That’s how I did a profile for the Xiaomi/MADV Mi Sphere 360 a few years ago