tgc, Beekissed is very experienced at DLM (deep layer method) and it transitions well into runs. She has *good* information!
The more organic matter that you can get in there the better. Leaves, leaves, and more leaves are fantastic. I had to go back and find where you're located at (Ohio) to figure out what environment you're dealing with. A good deep layer of litter both in the coop and the run would do wonders for your chickens. In searching for your location I see that you've used lots of medicines and pesticides in the past. I would stop using these and let the litter build up the population of microbes and critters that make for a healthy ground for your chickens. Once your litter "comes alive" it has many health benefits to it...both physical and mental. The chickens will love scratching in it rather than walking through the "bomb zone". A little BOSS or scratch thrown out occasionally will put them to work turning the litter for you. I'm not sure what type of weather you are having, but if you see bags of leaves out by the road...well, that's a freebie bag of litter.
Lowes, Home Depot, Marvins, etc., all sell pine straw in my area, not sure about your area but they probably do there, too. Also, look for someone locally...check Craigslist, buy-sell-trade papers, "For Sale" listings in the local newspaper, etc., for someone that will deliver to you.
Leaves seem to work best, and it seems you can't get too many of them. Pine straw is pretty good, though take longer to break down due to the waxy surface. Wood chips and shavings are long-lived. Basically anything organic that can be shredded, chipped, or broken in small pieces would work, though use the "odd" stuff in smaller quantities. Grass clippings are good in smaller amounts, in large amounts they can mat together and mold...same with old hay. A little of most any yard debris the chickens will love to investigate...and will spend hours pecking and hunting that juicy bug that they *know* is hiding in there.
How large is the run? Dimensions?
Best wishes,
Ed