Updated with pictures
The first photo shows the backstop area.
The second photo shows the side wall a few feet forward of the backstop.
You can see the backstop (the steel plate) on the right side in the first picture. The ground is basically some dirt with a lot of lead and jacket metal fragments. As you can tell, the attempt to "trap" this material doesn't work too well.
There's also a lot of wood chips from bullet fragments tearing up the ceiling joists.
This set-up was put together to try and alleviate the problem of bullets exiting the building. (Yeah, I know....

) But, the downside is this environmental hazard.
There is a ceiling fan, but no filtration. The fan is one of those large fans that you used to see in metal frame workshop/garages years ago. It's mounted in the ceiling rather than the wall, so it doesn't do much but clear out the smoke. I tested it once by tossing a pinch of baby powder in the air while standing directly under it. The powder dispersed around, but was not exhausted out anywhere.
Management is well aware of the situation. The property is owned by the county. The prevailing mentality is to not do anything that might cost money, since it's not their property, and to hope that the county never gets wise.
Personally, it no longer is an issue for me, as I don't shoot there. But, there are a few folks that don't know any better, including a group of young kids that shoot airguns once a week. This sort of environment can't be too good for them.