I think one reason nobody has responded is that they are both made in Big Timber, Montana right down the street from each other and both are fine, high end Sharps reproductions. So it is kind of like comparing apples and apples.
I have a C-Sharps Hartford model with the Badger barrel in 45-70 which is perfect in my mind. I have not shot it yet, but will this season. The fit and finish are fantastic. I am guessing I will barely feel the recoil since it is a very heavy gun. I think the wait for a Shiloh is longer than the C-Sharps, and C-Sharps usually has some in the pipe production line ready for custom features to be added which reduces the turn around time. Now that I got the ball rolling, maybe others will chime in. Regards. Deadeye.