Please understand that "BBB" is a mindset not a dogma. It was suggest that "ABC" for Acid(muriatic), Borax, and Chlorine would be better, but...everything is "ABC" and "BBB" is catchier!
When my CYA is low and my pH is high, I use Tri-Chlor tabs without a second thought. Because the regular testing tells me when to stop.

I actually almost never use Baking Soda because I ONLY use it when my T/A is low and my pH isn't stable. If T/A is as low as 50 or 60, but my pH is stable, I just don't worry about it. Now that only hold for a vinyl pool. For a hard-side pool, T/A and Calcium levels are more important to protect the mortar, grout, plaster, etc.

I use either Borax or Muriatic Acid a little more often and generally rely on liquid chlorine. I use LC because, where I get it, it's cheaper than bleach. 5 Gal of 12.5% LC at $19 is equivalent to less than $2/gallon of bleach. Otherwise, I'd use bleach.