I'd try one of these old school impact drivers, had good luck with them and screws:
https://www.amazon.com/CRAFTSMAN-Imp...dp/B07R96M9VW/
twist as hard as you can then wack it with a hammer
If that fails and heating is required, I'd focus on the edge of the plate near the screw head to expand the hole around the head, or general heat of the block as close to the screw as I could.
By the time you reach for the drill you know your havin fun