How about yours, earmuffs?
That's not super similar IMO. Your hole has only one bunker (greenside at that), no penalty area, and it's a bit longer. With only a few seconds of thought and looking at your hole, I'd probably suggest hitting driver there every time, too.
We have a similar hole at a course I play a lot. I always hit driver, generally choke up a couple inches and swing smooth but with a stiff head wind I would just aim left edge of the green and take a full swing. If I hit it straight I'll be in the rough behind the green if I have the right miss I might end up in the shit but I'm more confident I'll stick a green with a driver from 270+ than I am to hit my hybrid 220 and straight lol.
First things first, the question says "assuming I can carry my 265 into a severe headwind..." I cannot. So, in real life, I'd probably hit driver into the headwind, it looks like I'd be plenty short of any trouble. If I had no wind or a tailwind then the question gets a lot more interesting for me.
Okay, back to the question, if I "could" hit my driver that far. I would go for the green. Why? Because being able to hit my driver that far would go to my head and I'd be trying to reach any and every par 4 in one that I even remotely thought I could.
Incidentally, I've hit a number of Par-4's in one in my life. It's getting rarer and rarer, so I'm going to try it when ever the opportunity presents itself.