What would your design be?

What would you plant?

I'm thinking a close-looped aquaponics system, with solar/wind generators, that or powered by hamsters. Would need high yield plants.

Well, plants & fish:

Fast growing perennials. Need to consider your dietary requirements too, high in calcium and protein. You'll probably have a shortage of meat unless you want to turn into a zombie too, and not sure how an aquaponic setup you need to keep up a supply of fish.

Definitely tomatoes, spinach, broccoli...?

Tilapia for fish. Or carp, I think they're hardier. I'd do both, diversity's good.

I don't know about design, never set one up myself but hoping to soon. Sustainable power would be a big one to figure out, nuclear?

No nuclear, then we'd have mutant zombies. Also how would you get a nuclear reactor?

Bring some shotguns, find the nearest plant, take out all the zombies (remember to do the double tap) Walking Dead style, grab a hazard suit, grab the fission material. Mission accomplished.

Build Tesla's Fuelless Generator (U.S. Patent #685,957). Or, an easier way would probably to just have a gas generator on hand, and stock up on fuel from a nearby gas station. It should last you some time if you ration it, i.e. don't use it to power your computer to watch porn. I would stick with old Playboy/girl magazines.

Aquaponics would be a good idea if you had sustainable power of some sort, but I think a good solar panel and pump will be enough to power it. Heck you can find one on Fleabay for $15.

I think it's easier to just plug plants into the ground and use sun & rain. Plumbing will most likely fail sometime into the future, and you want to conserve fuel for other necessities.

Whatever the design, you'll need barriers to ward off zombie racoons, round poles that they can't latch onto (metal preferred) with barbed wire fences. You'll want to run high voltage through these fences, which is why we're conserving fuel (safety first). Regular barbed wires may keep out regular animals, but you need to zap and fry zombified ones.

Not convinced?

Lol in all seriousness, you don't need a high-tech aquaponics setup.

Barrels/buckets to hold rain water, or dig some kind of an irrigation from a nearby water source.

Plant in dirt, hope for sun and rain, deal with pests (or zombies), wait to harvest.