A lot of us have successfully fitted a Campagnolo crankset to a JIS bottom bracket spindle.
The crank mounts up straight and seems to stay tight.
I've even seen Campag crankarms mounted to JIS bottom brackets on brand new bikes from smaller companies.

The trick is to balance out the differences in the effective lengths of the spindles.

So, for example, the taper difference will make a JIS spindle seem 2-3mm longer on each end.
And, any differences in the offset of the bottom brackets will also have to be accounted for, since a Super-Record bottom bracket is offset a millimeter or two to the right side, while JIS bottom brackets shorter than 119mm usually position the spindle symmetrically.

So, in the end, a 113mm JIS bottom bracket might mimic the Super Record bottom bracket very closely.
Alternately, and this is what I'd try, a 110mm JIS Shimano cartridge bb, test-fitted first (then adding a cup spacer to move the whole shebang to the right, but only if necessary).

I've done the same thing with Stronglight cranks, using a 115mm JIS cartirdge bb to replace the slightly-offset original 118 ISO bb.
The stronglight taper is the smallest ISO taper I've measured, and I've measured a lot of them, so I've even gotten a 113mm JIS bb to work fine (good chainline and decent chainring clearance) on my PX10 with 126mm rear dropout spacing.
The Peugeot was actually Swiss-threaded, but I worked/forced the English-threaded Shimano bb into the bb shell and it works fine now.

Using a caliper can actually allow one to predict (mathematically) how well of a fit that a prospective bb will offer, compared to an existing bb.