I use the BiaB with the double dunk method. Though I combine volumes before boiling so I know if I need to adjust my gravity. With a dual roller mill I was typically around 72% with 1.050-1.060 beers, about 70% for 1.060-1.070 and about 68% up to around 1.100. Higher bumped be down to about 65%. Wheat heavy beers tended to have 2-3% higher efficiency.
Since getting my own corona mill my efficiency has jumped about 10%, with some of my lighter beers hitting 85% with my method.
I do do single immersion BiaB with smaller volumes sometimes. Saves about 30 minutes of time overall typically and my efficiency only tends to go down 2-3%. I can't do it for large volumes as I only have a 6 and 5 gallon pots. So typically anything over about 4 gallons in volume and more than 10#'s of grain and I HAVE to do a double immersion. Otherwise too messy. I have done a few at 4.5 gallons with only 6-7#s of grain, but the thing is filled pretty close to the brim.
I also notice no difference in final clarity and no astringency from squeezing it like it owes me a tener.
Everyone, on the "no mashout", it depends. If you increase the temp before yanking the bag, it does help draining and ups efficiency. If I "mashout" by turning my burner back on and increase the temp to around 168F or so before I pull the bag, from a typical 148-158F mash temp, I tend to get 1-2% extra efficiency and it tends to drain a lot faster. Downside is that squeezing the bag is a LOT more painful and harder to do. I still manage fine. I have a nice sized mixing bowl that can accommodate up to 15#s of grain in it. I just drain as much as is reasonable, squeeze a little and then plop it in the bowl to "drain down" for 4-5 minutes. Lift the bag and once the draining slows to a trickle again, hold it over the pot, drain the mixing bowl to the pot, squeeze as much as I can out of the bag, drop it back in the bowl, rinse and repeat.
I'll typically do that 2-4 times before I've gotten enough out that it isn't worth trying to get any more (a press might get another pint or so out of the grains, but I sure won't). Then haul it to my compost pile and dump it.