A few points.....
The beauty of a really long par 3 is that you can control the proportional distance with multiple tees, so everyone has nearly the same challenge, whereas on a par 4 or 5 you know that a substantial number of golfers won't be playing a yardage in that you designed for. That always suggested "concept" holes to me, since there is no strategy link from the tee shot. One of the concepts I settled on (for a while) was that a long par 3 with small green was the best way to challenge long hitters to hit a great long iron or even fw wood. For the others, I adapted most of CBM's concepts in one way or another.
Many years ago I consulted at Norfolk CC in Norfolk, NE (hometown of Johny Carson). It had (has?) a long, dogleg par 3 that you couldn't hit without a driver with a giant fade. Perhaps they kept the hole because so many golfers said, "I got that shot!"
I went through a phase of doing long par 3 holes, born out of missing out on a ranking in Golf Digest when I was told that my course was downgraded for having all the par 3 holes the same length. So, for a few years, my par 3 holes ranged from 130 yards to 260 yards, sort of a "say those are too much the same" to raters message. I had been doing mostly mid length par 3 holes on purpose because average golfers seem to like them a lot and not like par 3 holes over 200 yards that they need a driver to reach.
Probably my favorite long par 3 own design is The Quarry at Giant's Ridge no. 4. When I designed it (261 yards) I could drive it from the back tee......now I cannot, LOL, which alters my perspective. It has the small green, originally shaped like the liberty bell as it was designed right after 9-11 (but the wide front and narrower back fits that type of hole, IMHO. The front corners are now rounded a bit for easier mowing. I did a few others in the same period, some with Biarritz or Redan greens, but for whatever reason, I didn't really like the way they came out as much as the one at the Quarry, perhaps because the site was better?
I went back to not worrying about rankings and making each par 3 fun for average golfers rather than some distance formula that the raters seemed to like. Hey, I like mid length par 3's as an average golfer, and sometimes your inspiration is from your own experiences, not what some point system dictates.