We don't use anything in the runs other than dirt and till them up in dry spring and again in late fall. Only shavings inside the coop on the poop boards to absorb and the floor area. Straw in the nest boxes only so far. And we love to toss in a bit of PDZ during the winter time and hot times in the summer.Straw and/or hay can get nasty if too thick and it's gets wet....ramial wood chips work way better at 'eating' up the ammonia/nitrogen.
I do use straw in the run, especially on ice/snow, and also mud/muck..... but only a very thin layer at a time.
Of course you need to address any drainage issues too, standing water is hard to deal with.