There's only 2 cases when you might want to use Continues Lighting for your rig:
1. Keep complexity of your Scanning Rig down, while learning about photogrammetry
2. You have enough cameras to maximize the parallax
Details:
Continues light solutions are way too bright for Character Scanning, since you will need to drop your apertures to f/16 to get enough data. This will become even more of an issue once you go with CPFs.
Having more cameras will enable you to discard more of the peripheral low quality information in each one of your photos: bokeh, lens distortion etc.
Once you maximize parallax and more of your in focus data begins to overlap, only then you will be able to up f-stops to widen up your aperture and let more light in.
I hope this makes sense.