Ok, we're back from the pool store.
Our numbers are as follows:

FC = 12.05
TC > 15.66 [Their machine limit]
CC = 3.61
pH = 7.8
Hardness = 36
Alk = 104.3
CYA = 29
Copper = 0.1
Iron = 0.2
Borate = 24

Our Walmart is out of the 6-way kit, so a Taylor K2006 is on its way.
BM = 22 was a typo for BR, Borate. Sorry. [M and R are so close on the keyboard... ]

The pool store computer recommendation was to add:

7.5oz of pH Minus
10lb, 4oz Calcium Plus for the hardness
7.2oz Aquabrite Super Shock to bring down the TC
4oz Stabilizer

Talking to the pool store guy, he was basically, "just leave it alone. Don't add anything until the CC gets down around normal [from sun burn off/swimming], and then add Stabilizer.
He said the milkiness should go away in several days or so, and that, while not pretty, was nothing to stop swimming.

Does all this sound about right?