This is an impressive set up that you have.That drawing was so bad, here is what you might try though, i love how well it works.
You can see the cross beams, from below and what it looks like when you lay boards up there for them to hang out. My hens actually hang there all day and they are not confined there.
View attachment 2949608
And what it looks like above. The poop is easy to clean off the round poles, but the boards are also easy to clean whem they are removed. Whenever it rains though i get a free cleaning because the roof is palm leaves and it leaks a little. The mites are unfortunately very bad here too.
View attachment 2949609
View attachment 2949611
I think I understand the concept and this may work well for my run if I get creative with it.