Thanks all.
After some deliberation [and laziness on my part] we've decided to try and fix this rather than starting over.

The green is gone, but it is now milky, and we can no longer see the squares pattern on the bottom.
We can see about a 2' dia pile of something dusty looking [dead algae?] in the center.
We currently only have a 3-way test kit, but can get the water tested tomorrow at a pool store.
As of right now we have:
CL ~ 10 [using distilled water method]
pH ~ 7.7
BM ~ 22

Over the last several weeks we've added:
2½ 1# pkgs of Aquachem Shock and Shock + [we can't remember the exact combination]
1 box of Baking Soda [which I can't recall why]
2 boxes of Borax
2 gal Walmart's Finest Liquid Bleach
a few handfuls of 1" chlorine tablets in a floating duck [he wanted to help ]
2 loads of 1" cl tabs in the top ½ of the filter. [OEM Intex pump/type a/c filter. mdl # avail on request]

The only things added in the last 4-5 days was 1g of bleach as we still saw some algae and the cl had fallen to 0, and 1 box Borax this afternoon to get the pH up.
The CL has been over 10 since we added the bleach, but it's coming down little by little.
We take the cover off for several hours each day to burn off the excess CL.

The questions on the floor:
Are we on the right track?
What is our next step?
With CL@10 and [email protected], can we swim even though it's milky? It's way hot here [90+ every day] and the pool would be nice.
It's just two adults.

Thanks again!