An '88 "King" Cobra with the small block Chevrolet V8 would still be the standard Cobra dog clutch drive, most parts are out there, but some you have to use used parts, or aftermarket. That said, why make it more difficult you don't want to wind up like me and have a bunch of Cobra spares in your garage "just in case" lol.
OMC called some things "King" Cobra that were equipped with the standard Cobra drive and a high output engine, or through the hull exhaust.
The King Cobras that used different components than the standard Cobra drives were these:
1988-89 Ford 460 King, this used the standard Cobra upper gear housing and a larger V-8 Evinrude lower unit
1990 and up Big Block Chevrolet, used the totally different Cone Clutch King Cobra, these are the ones that are nearly impossible to get parts for
Some Ford 351s also came with this drive, it is easy to identify as it is much larger/wider than the standard Cobra drives.