Hi Lewis, welcome and thanks for the lifetime mem.
It might not be a bad idea to drain off half your pool and refill...because they put a lot of useless junk in that may WELL make it more difficult to clear your pool...I don't know.
Or you can go simple and hammer it with bleach. You CAN use Cal-Hypo but you have to watch the CH level and stop when it hits 400. Only use Cal-hypo that's 60% or higher chlorine, if you use it (none of the 48% wal-mart garbage).
But Bleach or Liquid chlorine(LC) is the best way to go. 6% Liquid Chlorine is EXACTLY the same as 6% Ultra Bleach. Exactly.
So? How much?

Well, with your CYA over 100ppm, you need to shock your pool to get your FC up to 25ppm. That's going to take 10 gallons of 6% bleach, and you'll have to keep using it as one gallon will add 2.5ppm of chlorine.
If you use 12.5% LC you'll need 4.8 gallons...might as well empty the entire 5 gallon carboy.
I like the 12.5% in carboys because I use less gallon jugs, less hauling, and the normalized per gallon cost is cheaper (If a gallon of 12.5% is no more than double the price of a gallon of 6%, the chlorine in it is cheaper).

But it doesn't matter. For convenience and cost I prefer the stronger stuff. Other people around the country find it more expensive or harder to come by and use bleach. As long as you use the correct amount it's no different.

Carl