Shifting lenses takes a bit of getting your head around, until you have the realisation that I had a while ago.
Think of a large-format or medium-format lens, projecting an image circle 8cm diameter or wider.
Now get your camera sensor of 15x24 or 24x36 inside that 8cm-circle, it's tiny (comparatively).
When you shift, you want to shift the sensor within that circle, you want the image circle to be exactly the same every time, if you shift the lens then the image in the projected-circle is changing.
Basically, a TS-E (or PC- or PA- lens, depending what brand you're looking at) is a medium format lens with an image circle of 8cm or so, and you should be shifting the sensor within that 8cm.
So that's what the Hartblei ring does, it holds the lens still so the image-circle is always the same, and lets you easily shift the sensor within that projection.
The only other ways around it are to find a different off-brand tripod-ring that can hold your TS-E by the front part (basically that's what the hartblei does), or to use a nodal rail, shift 12mm one way take a photo, rotate the lens so that it's shifting 12mm the other way and slide the camera 24mm (so that the lens is effectively in the same spot as before), shift the lens back to the centre and slide the camera 12mm along the rail so that the lens is where it was before. It's not the best and sometimes you can be 1mm out or so, but unless your objects are *really* close you won't notice.