I'd say stick with bleach to get it cleaned up until and the chlorine demand settles down - no sense burning out your SWCG cell trying to clean the swamp. The remaining debris in the pool is adding to the chlorine consumption - you'll save money by removing it.

Do move the pH into range - test in the evening before adding bleach when the FC is below 15. Don't pour the whole gallon of MA in at once, add some, let it mix and see where it gets you. BTW the TA will come down some as you bring pH down.

What kind of pool surface do you have? Vinyl liner, plaster?
You do have a K-2006?