Yeah, they always say that you should have your cool weather winter garden crops started in Aug & Sept. If I did that, my stuff would be dead. It's just too hot and dry here to plant them that early. I can start warm weather crops that time of year, as long as I water them a lot, but cold weather crops won't do for me until October at the earliest. And that is if it's an unusually cool October. And then there is that same problem like you - where do you put the stuff when you still have your warm weather crops in the ground and producing?
I've read articles from folks that winter garden up in Maine and New England and they seem to do well so I know it can be done. I can use some of their hints here but not all. The biggest problem with living here in Texas is that it is normal to have extreme vascillations in temperatures. If the temps are only in the 40s, but the sun is out, I have to open up the plastic on my hoop houses or it gets too hot inside for the crops. On a day like today when it was 75 degrees and sunny - I'd have to retract the hoops completely or the plants would fry. But then the temp can drop down into the 30s by the morning after an afternoon in the 70s and 80s. Our winter temps are so crazy. We can't winterize like Northerners do because we don't get consistency with our temperatures for very long during winter. One day we care for everything to keep them cool and the next we are taking freeze precautions. LOL.
You need BTE~Back to Eden method of gardening!!! Here's a guy from your state on YT you might want to follow if you want to utilize the BTE method, it can keep your moisture levels and insulation of the soil at a more even rate. He's using it on pastures, garden and orchards...even has a vid where it's improving the grass in his chicken run just by it being located next to the orchard with the BTE covering in place.
I have a HUGE (about 5 truck loads) pile of wood chips rotting away in my chicken yard. I like to let it break down a bit and get manured by the chickens before use it. I toss all their scraps on the pile to encourage them to spend time there scratching. I just spread it as I need it.
But the interesting thing I am observing is, that after a week of sunny weather, a small but steady stream of water is still flowing out from under the pile. It has absorbed and is slowly releasing great amount of water. Good stuff.