First question is bass quality. How do you like it? I have trouble with integrating subs very well. For me, great bass is super important and for that I find that monitors +sub can't compete with floorstanders. At least so far.
However one big advantage of going with monitors + sub is that you can dial out your primary room mode if you do it carefully. You can have monitors that roll off before your room mode and then set your sub's crossover to be right below the mode. This can work great in a problematic room where floorstanders would never quite work out (unless you sacrifice bass extension, of course).
For high eff in a full range floorstander, I would take a look at Coincident Technology out of Canada. They aren't speakers on the beaten path but they are designed with a careful balance between extenstion and efficiency. Their reviews are excellent overall. And I bet your BAT would love their fantastic impedance curves.
I don't think you can generalize that monitors would surpass floorstanders in the same price range. It will absolutely depend on your priorities. Note that not everyone here will have the same priorities you do.
Arthur
However one big advantage of going with monitors + sub is that you can dial out your primary room mode if you do it carefully. You can have monitors that roll off before your room mode and then set your sub's crossover to be right below the mode. This can work great in a problematic room where floorstanders would never quite work out (unless you sacrifice bass extension, of course).
For high eff in a full range floorstander, I would take a look at Coincident Technology out of Canada. They aren't speakers on the beaten path but they are designed with a careful balance between extenstion and efficiency. Their reviews are excellent overall. And I bet your BAT would love their fantastic impedance curves.
I don't think you can generalize that monitors would surpass floorstanders in the same price range. It will absolutely depend on your priorities. Note that not everyone here will have the same priorities you do.
Arthur