For this job, a ceiling mount is probably not the best solution. It’s harder to access, frame, and control, especially when you have thousands of rugs to handle. A more practical setup is to mount each rug on a flat or slightly sloped board, or hang it on a wall, and photograph it straight on with the camera on a tall stand.

If you must shoot from above, your 6D with the 24-70mm at 24mm can cover roughly up to 3.6 × 5.4 m from 12 ft / 3.6 m away, so that may already be enough for many rugs. If not, a wider lens such as a 17-40mm or 16-35mm would help.

If shooting from a ladder or any angled position, expect perspective distortion that makes the rug look trapezoidal; this can be corrected in post with perspective correction tools, or reduced with a tilt-shift lens.

For a large catalog, efficiency matters as much as optics: choose a setup that makes it easy to move, unroll, photograph, and replace each rug consistently. Depending on your site, close-up detail shots or styled in-room photos may also be useful in addition to full flat images.