Ah, I forgot. Things have been busy, and I have been finally able to go home after some months, so everything's on a pause regardless. The only thing I wanted to add was to simply explain that the war stunted a lot of the big plans, and the engines would not have been ready in time for the originally scheduled rebuilds anyway iirc.
As for dimensions, at this time no. They're around almost for sure, but they aren't digitized yet. What's been uncovered at the US National Archives is only a tithe of what's actually there as well, so it might be there. Such a thing hasn't even been identified either, so I couldn't even tell you if it's in Germany or the US.
Have re-read what M. J. Whitley had to say on the proposed rebuilds of the Deutschland class that was agreed in 1938 and a number of points could be concluded. I'm referencing page 30 of the 1989 publication of German Capital Ships of World War Two.
The increase in length appears to be by lengthening the bows (which presumably means no changes required to the rudder and shaft arrangements that might have been required it the stern lengthened as well). A more austere rebuild option "if the major refit was on unacceptable on cost and/or time grounds", notes that if that it would mean "the bows could not be rebuilt"
The 15.cm and 8.8cm/10.5cm batteries were planned to be unchanged. The more austere rebuilt suggests saving weight "the only alternative was to remove the torpedoes, saving 45 tonnes because the Fleet Commander would not allow the 15cm battery to be reduced.
The increase in beam may have been the earlier proposed change to the bulges but not clear if a different concept was planned.
Nothing explicit on replacing the machinery - but 50 tonnes added to the machinery weight.
The major refit was approved as Entwurf I in November 1938 as you have noted "had an increase beam and length. This had given very favourable tank trials and shown just how unfavourable the current ships' lines were. It was true this plan would involve more work than the beam [increase] only plan [Entwurf B], but would only take three months more. This rebuild would allow the ships to have improved splinter protection, better stability, seaworthiness and strength, as well as a 2 knot speed increase. Thus the work was well worth it from the technical point of view. Displacement would rise by 750 tonnes, made up of 500 tonnes for hull widening, lengthening and splinter protection using new steels, 100 tonnes for new equipment, 50 tonnes for machinery and a reserve of 100 tonnes."
Earlier on the page there is a summary of what might fit in the 100 tonnes new equipment category.
30 tonnes for strengthening the main motors
3 tonnes for N. V. A. special equipment (radar)
10 tonnes for improved aerials
5 tonnes for improved aircraft facilities [changing the He 60C for Ar 196A/]
19 tonnes for stabilization to the searchlights
20 tonnes for splinter protection to the free-standing guns
The total weight growth was estimated at 71. 2 tonnes for Deutschland, 71.7 tonnes for Admiral Scheer and 76.7 tonnes for Admiral Graf Spee.
Not as exciting as your Umbau-Panzerschiff Admiral Scheer rebuild. Is it possible that the plans you found for the diesel engines, Entwurf II, with the V7Z 42/58 engines, which did seem to fit the available space might have been meant for these rebuilds (with a possible beam increase) or were those engines also not yet designed too?
