This is exactly what we do with the "LUKS Header Shredder" script in BusKill. First we lock the screen. Then we use the built-in `luksErase` command to destroy the data in the key slots, then we overwrite the whole header area. Then hard-shutdown.
This script itself was actually an easter-egg in the explainer video at 50 seconds :P
* https://youtu.be/S3LtLyuaBvI?t=46
We're just finishing a very detailed write-up on the "LUKS Header Shredder," and we'll be publishing it in ~2 weeks. You can subscribe to our newsletter on our website (buskill.in) or crowdsupply.com for updates :)