Live 1-3

Laggy Reg opens button to $15 with me as single Big and we are around 1k deep(340bb)

Hero has KJdd on Bb and calls(probably a mistake in hindsight, seems like this should be part of my 3betting range given his likely very wide button range.

Flop KThh3c
Bttn Cbets $15
Hero calls

Turn As
Check
Bttn barrels $40

I’m guessing my best turn check raise is something like QhTx? I could also see a hand like this being a good check raise candidate blocking AK and QJ. And then we can just call Kx without blockers, say K8s. Our bluffing frequency might really get out of wack however if we start using this.