My partnerships would bid the same as Richard's, although we wouldn't worry about finding opener with...
KJx
Axxx
QJxx
Jx
That isn't an opening bid in KS.
Per A-8, a strict KSU auction would begin:
1N 2C
2H 3D¹
3N² ?
¹ Nat, forcing, unknown length
² ♤s stopped but denies 4
Given his ◇ fit, opener might rebid 4N in lieu of 3N (forcing, requests suits up-the line). Responder would repeat his ◇s, then Opener might cuebid 4H. Then...
It's all kinda squishy, which is why we play 2-way Stayman.