IMO if the goal is deep litter, just keep topping off the existing base with fresh dry material. I think the variety of organic materials will be better results, especially over straw - ever seen how a straw bale collapses into a slimy wet mess as it decomposes? A bale of wood shavings will help, but I'd be trying to source some arborist wood chips for adding in - they have a variety of sizes from the chunkier woody bits, as well as the smaller ramial bits (canopy/twigs/foliage) which will fill in some of the spaces so it's friendlier on the feet and help to decompose things. In the coop section where they're sleeping and pooping out these wet poops in high volume, you may want a system you clean out more regularly vs the deep litter.