I would have thought that if they were to develop a J10C, it should also use the WS15. This would likely require a re-design of the main fuselage, but this may actually not be such a bad thing.
I know that the Japanese have had all sorts of problems when they enlarged and stretched the F16 into the F2, but that does not have to the case every time.
The F16LX was a pretty impressive bird, and it would probably have been a far better aircraft than the F16I/Blk60.
If CAC does have a programme to put the WS15 into a J10, they could, and IMO, should stretch and flatten the fuselage sides and the bottom of the plane, both for better shaping (and lower RCS), but also to allow for semi-recessed missile carriage on the fuselage like the Typhoon. That should significantly reduce RCS, and they can even add PAK-FA style blow-off covers for the exposed bits of missile to further reduce RCS.
This would not be as radical and unprecedented as some might think, as Lockheed actually had a somewhat similar plan to evolve the F16 called the F16U, which would have
"made room for four semi-recessed AMRAAMs" per this
Such a J10LX will cost a lot more than a J10A, but will in all likelihood not even cost as much as a F16 blk60 today, and should at the very least match Typhoon levels of stealth, and may well be a lot better with a AA load.
With a WS15, it will also be able to supercruise, and should be a beast in a dogfight. With the same engine as the J20, logistical costs would go down for both considerably.
I think if China was to develop a medium sized stealthy fighter for carriers and export, it should be this, not some alternative PAK-FA like attempt to make a stealth plane out of the Flanker.