Ayuh,.... I just read the Whole thread,.....
Your way will either bugger the Screw, or the Housing,.... Period....
We are advising your basic DIYers here at iboats,... Not trained Mechanics like Us....
I too am a lifelong Wrench,.... I've got Tons of them,... Literally...
Impact drivers of All shapes, sizes,+ power.... Air, electric,+ Hand Held.....
For the situation above,... A 3/8" drive Hand Held would be the Most logical Tool to reach for....
It'll remove the plug,..
Without buggering up the Screw,.. Or the Housing...
A hammer,+ punch are at Best,...
An Emergency technique to fall back on in,.. Well,.. An Emergency....