I live in Austin as well. I'll tell you what has been the ideal coop litter for me for the last several years. I do have a large area for my girls (and rooster, mustn't forget the boys). They only use the enclosed coop at night. In their coop (which is roughly 6' x 8') I rake it completely clean. Then I add 4 bags of general purpose sand from Home Depot. Then I sprinkle very generously with diatemaceous earth, then I put...and here's the magical part, rice hulls that I buy from Buck Moore on Lamar and 51st. I used to use wood shavings but they took forever to break down in the compost bin and I don't mind saying I am a master composter. Even when they did compost, I really didn't care for the quality of the compost compared to the rice hull letter compost.
Rice hulls are not easy to find. You can pick composted rice hulls at Natural Gardener for an arm and a leg but you want dry rice hulls. The only place that I know to get those in Austin is at Buck Moore. Ken makes a trip a good ways out of town to pick them up. It's the best litter I've found. The coop is dry, easy to clean and very few flies. I hope that helped. If you do this, remember to thoroughly remove/clean out the old bedding first and raise that feeder!