masking and scaling studio projects

I am looking to do studio photogrammetry on some museum pieces. I want to use scale bars in the photographs to scale the models. However, I also want to use Lightroom to mask off the objects to remove the turntable and background. Obviously that will remove my scale bars. 

I was thinking that it might be possible to bring in 2 photo groups. One with the unmasked photos, including the scale bars. The other with the background masked off. Then run an AT with all of the photos, set a scale constraint, run another AT, then take out the photos with the background and run another AT and reconstruction. I don't have any idea if that will allow my scale to carry through to the reconstruction without any background information. Does anyone have any experience with this situation?