That is a nice sized run, but you have a lot of chickens. I can see where you might have to manage the poop a bit. That is one benefit of giving them a lot of extra room. The more room they have the less you have to manage the poop.
The best way to keep a run from smelling is to keep the run dry. Usually a dry run won't smell unless the poop gets fairly thick. I'm not sure where you are in Oklahoma, but you've probably been getting a fair amount of rain lately. Let me give you a link to Pat's Muddy Run page. It may help you, but I think your problem will be less this summer when we will be wanting rain.
Pats Big Ol' Mud Page (fixing muddy runs):
https://www.backyardchickens.com/web/viewblog.php?id=1642-fix-a-muddy-run
Pat goes into a lot more detail, but the main thing is to try to keep water from going in the run to start with. When the weather sets in wet, you are not going to be able to keep it dry so you might have a problem then no matter what you do.
I personally do not like the idea of putting anything in there to stay that will rot, like straw, wood chips, wood shavings, anything like that. When it rots, it holds moisture. That is one thing that makes compost such a good addition to your garden. When it rots then gets wet, it can make a black somewhat sticky mess they can track in to the nest boxes. Also, if it is wet, it can mold which is dangerous to your chickens. Putting bedding in the run for a temporary fix can work out well, but I personally would remove it before it molds or rots. I do that myself, by the way. I put a bale of wheat straw in the run and let the chickens tear it apart and get the last of the seeds out of it, then use that wheat straw as mulch in my garden.
I'm a firm believer is sand. It drains well, is easy to rake, they love dust bathing in it, they can use it for grit, it does not stick to them and their feet like regular mud. It is just good stuff. Depending on what your run looks like, you might need to put something around the base to contain it so it does not wash away in the rain.
Good luck!