Much is written on how to tee up for a driver - what about 3W?

This is a good question!  I'll be interested in seeing what others have to say, but for me I'm thinking about 1/4 inch of the ground or somewhere around there!

I usually tee it up just like how I tee it up for an iron which is just barely above the turf.

The tour average AoA is -3 degrees or so for a 3 wood. I'm not sure if it's effective to get a positive AoA for a 3 wood just like a driver, but since I do practice hitting 3 wood off the deck at the range, I just try to keep the conditions relatively the same and tee it up just barely clearing the grass.

With my Titliest 910F 15* 3W I tee the ball about 1/4 inch off the ground (due to the shallow depth of the face) with the ball positioned just left of center (right hand swing).

I thought we want a sweeping motion, so AoA of almost 0/- degrees? and tee up at a cleat level of 1/4"?

Add me to the 1/4" crew. I put the ball position maybe a 1/2 ball back from my driver stance. If I put it any higher than that, I pop it up. I usually hit my 3 wood around 200- 210 yards depending on rollout.

I like the old advice that a low teed ball encourages a fade and a higher teed ball a draw. Most of the time, I'm trying to hit a gentle fade off the tee - so tee it pretty low, though still higher than I would for an iron. No idea how that measures up in terms of mm. If I feel a straight or draw flight is absolutely necessary, then I think a 3 wood is more reliable than a driver and I tee it a little higher.

Very recent 3-wood owner/user here.  I started out with it teed just above the grass from a pretty tightly mowed tee boxes.  Too low.  Went up to about 1/4" and was hitting line drives.  Finally ended up about 1/2" lower than my driver with the ball just slightly less forward than my driver and definitely swinging up and through the ball.  Great ball flight now - high and straight.  Rolls out to about 200 on a good swing.

I bought the 3-wood last year because my home course has a par-3 that plays due west and usually into the wind.  It plays anywhere from 188 to about 215 if tees are back. Prior to the getting the 3-wood, the longest club in my bag was a 3-hybrid that would go 170-180 with my best swing on a calm day on the long par-3 into the wind.

Once the tee was back making the hole play about 210 into a 30mph wind.  Hit driver and didn't even make the front of the green!  Nasty, nasty NASTY par-3 hole sometimes!

dave