As you may have found - the profiles sound very close to the JVM 'in the room' - I tried to setup the mic's (and other gear) so that the sound of my JVM is as close as possible reproduced from the KPA via my Adam speakers (btw. both systems use 2x12" speakers).
In case you do some recordings you may want to reduce the bass a little bit with the KPA EQ.
My main goal was to be able to enjoy the KPA as an 'amp in my room' (not as a miked amp sound).
It's was fun to let my buddy guess which is which when he was in my room
Try the JVM C31 (this is the 3. channel / 1. Mode = Overdrive1 in green mode) - it should be the sound you are after.