Here is one data point, for what it's worth.
I'm a 12 handicap. My FIR is 47% for the past 20 rounds, but I like your idea of "quality" tee shots. I wish I tracked those, but I'd guess that is around 60/65%. My average drive is 233, and I include all my driver shots in that, although not the occasional shots that go 50 yards. Anything over 200, I'll count whatever the GolfShot app tells me is the distance when I get to my ball. Sometimes only 200. Highest I've ever hit is 289 yesterday (downhill with wind), but my typical shot when well struck is 240.
I use GolfShot app, along with its cool companion called GolfPlan. They do a great job comparing your stats to others at your handicap. They tell me that at my handicap, I am hitting quite a bit more fairways than average. They do not comment on length, unfortunately. My 33% GIR is about average. My putting and ups/downs is what is below average compared to other 12 handicappers, according to them anyway.