I can't recall seeing any official sketches of KKIV or KKV in published sources. There was a KKV doing the rounds of the internet years ago but I think it was an interpretation rather than a real plan.
Smurf is the man to ask as he is a Royal Navy cruiser expert. He does visit here but infrequently. Perhaps try the All the World's Battlecruisers discussion group (https://www.tapatalk.com/groups/allthew ... ecruisers/
) as I know Smurf is active there.