Even ignoring the wind, TOC's 11th has options. Now I'll point out first that both times I've played it the pin has been as front as it can get, hanging for dear life on the edge of the slope, so I know that position well but not the dead center position you speak of. But even assuming it is the most boring green possible in that area and is dead flat, you still have multiple options:
1) fly the ball to the hole, hitting straight (pretty much what you did)
2) hit a big knock down fade, landing long left of Strath and and rolling it home
3) hit a high draw, playing right of Strath and taking both bunkers out of play, and rolling the ball home
Now options 2 & 3 probably aren't all that reasonable in dead calm conditions, but add just a touch of wind and one or the other would quickly become a preferred option.
I'll submit however that TOC is probably not a good place to give real world examples of options unless you've played it at least a half dozen times. At least for me, I've played it twice, and I've given my caddies fits not listening to their advice about safer shots and lines of play. Ended up with some shots that amazed them, and some shots that made them shake their heads and think "I tried to tell him!"
The thing is, you play TOC for the experience, not for a score, so tempting fate to see how good you are -- either to pull off the shot, or recover from your just desserts, is most of the fun. I know I've posted before about the essentially impossible shot I attempted on the Road Hole last time, trying to fly a 7 iron from the wispy left rough directly over the Bunker to a back left pin. Didn't quite pull it off, but ended up with the experience of getting up and down for par off the Road. Next time I may get the fun of playing from the Bunker.
I'm sure a certain someone would say the option I tried there wasn't truly an option because I had less than a 1 in 10 chance of success. Heck, Tiger probably has a less than 1 in 10 chance of making that shot. But its probably an easier up and down from the Road than leaving myself a 30 yard pitch and run off to the right like my caddy would have had me do