First off, I am wondering what the ideal nutrient solution is. I have also read they are able to tolerate partial shade, but is that actually preferable this time of year in Tampa, FL?

I should add that I am growing them in a static flood and drain perlite system grown outside.

What would the ideal pot size be? I was thinking quart to 1/2 gallon size.

N 200ppm
P 50ppm
K 160ppm
Ca 260ppm
Mg 40 ppm
S 50ppm
EC: ±2000µS max (tend to grow better at lower EC's)

½ gallon pots are OK. They can take partial shade. In fact - here in Africa - they suffer a bit from the midday
sun.

Have fun

I'v tried Swiss Chard in DWC, but the roots are thin, frail and sensitive. The plants don't like them moved around, so it was a disaster. Ebb&Flow seems the best.
I didn't have much luck with 2000µS. Seems to be too strong.