For anything, IMHO. It's all in the DO levels.
Get a 25- or 30-gallon lidded tote, bury it up to its top, add mad aeration devices, stick a plant through the lid, add a way to monitor the solution level, and take full advantage of that sun by growing world record sized auto-flower. (Or a sativa, FBR.)
I know, I know, AFs don't need that much root space. But I'm guessing outdoor DWCs in NO do. If you decide to go with a photoperiodic plant, instead, it probably wouldn't hurt to go even larger on the reservoir size.
Can't bury it... gotta maintain portability in outdoor plants. They need to hide on occasion.
Still tho... you could mount an airpump to the side of the bucket and run a cord to it. Pretty damn portable.
The ideas will tumble on low for a bit in my brain. I suspect I may have to test a setup under the lights.
I kinda worry about running bubbles thru the perlite. Seems like it would jiggle the mix and cause the osmo to settle to the bottom. On the other hand... I did some vibration testing in an attempt to separate the osmo and perl.... it sure didn't move around at all when vibrated... hmmm.....