I will also say juruselam artichokes. But they are a mess, spread like hell. Blue corn, or hopi corn, might be another option. It doesn't get as high as regular corn but uses a lot less water and has higher protein levels (of course this is important if you are raising chicken)
I had a similar problem, certain times in a year I have to leave them up to 2-3 weeks, and plants that are about to set flowers just die. After reading Bainbridges book, gardening with less water, I started to use ollas. For plants like peppers they work just as good as it gets. With a lid, a correct sized olla ( or clay pots in the same manner) can hold the situation up to 2-3 weeks. If I'm late and come back in 3-4 weeks plants do suffer a bit, but they are alive and already fruiting
I never tried but a plastic reservoir over the olla or porous capsule might also work. Also a wick system with a reservour (fiber wick), like given in page 50 or 55 (if Im remembering correctly) might me another and cheaper solution.
Hope it helps!