Keep doing exactly what you're doing. Maintaining high cl levels, run the pump 24/7 and backwash as needed. It will take the filter a little time to clear out the dead algae. When you get to the point where you don't lose more than 1ppm of chlorine from sundown one day til sunup the next day, then hold the shock level for one additional day for insurance and then after that you can let the cl drift down. With a CYA of 60, you're maintenance level for chlorine will be between 5-10 all the time or you'll risk another algae bloom.

Stick with using only bleach for the chlorine source now since your CYA is already at 60. Unless your SWC manual tells you to run the CYA at a higher level, I'd leave iit where it is at 60. Dichlor and trichlor will both raise it.