What do you mean by "photography case"?
I have several SCs, 2x3 and 4x5. Three ways to pack them:
2x3er on short rail. Remove bellows and, if necessary, tripod mounting block. Rotate the standards 90 degrees so that the uprights are in the same plane as the rail. Should fit in a briefcase. This might work with the right briefcase and a 4x5er on short rail but I've never tried it.
2x3er on a long rail, 4x5er. There are smallish suitcases with supports that will accept a complete camera, set up and ready to go, hung upside down oh the supports. These cases turn up used from time to time, that's how I got mine. It holds camera on long rail, a couple of roll holders, a couple of lenses, bag bellows, ... Bulky, though. I use a folding dolly (Ruxxsac (spelling?) brand) to drag it around in the field. Probably not what you want.
Remove bellows, take the standards off the rail. Bellows and standards in one bag, rail carried however is convenient.