BAM is great for faster gathering of loot, but it is not as strong as b-arch. I used BAM in Crystal recently, and basically it was only great for dropping from C1 to C3, at which point I gave up as that was getting too low for my tastes. So yeah, BAM is fine at lower trophy counts, but I would not recommend it above C3 unless you are deliberately dropping cups and just want the quickest smash and grab raids you can get (or just use loads of goblins lol).
I haven't used B-Arch much at TH10, but as noted here, I believe it's strong enough to work at any trophy count, assuming you are prepared to use spells and/or heroes once you get above say 2600.

