Wise words Christ...very well said.
Joe, I'm interested why the scaffolding would need to be erected that precisely?
Is it so you have a consistent datum you can work from?
While I agree on both counts, I also wonder why not solve the challenge in a simple and precise way, distortion free?
Pano stitching will automatically remove lens distortions, and allows to increase shooting resolution by using a longer focal length. Assuming the murals are flat, without protruding elements, a flat plane can be successfully stitched even when the tiles are shot from different positions (because there is no parallax error in a flat plane).
A pano-stitcher like PTGui allows the "Viewpoint" correction to be automatically optimized, alongside the optical lens distortions if enough overlap is used. The principle is explained
here, with some examples, like shooting flat surfaces above eye-level, a mural, or staying out of view of a mirror, no Shift lenses required.
Because no (Tilt and) Shift lenses are require, the center of the image circle for each tile can be used, which maximizes quality and reduces the need for things like LCC corrections as remedies to counteract sensor shading and other issues. LCCs can still be used to address vignetting and light fall-off, but that's a much easier task on a centered image.
It'll save a lot of location costs, and hardly increase postprocessing cost if you get the technique set up well.
Cheers,
Bart