Charlene loves her crate too!
Charlene never poops in her crate, occasionally I find some buried in her nest box, but it’s easily cleaned out the next morning. She is incredibly clean, for a chicken. Maybe because she’s an only, and easier to tidy up after. When confined to the garage during the day she will sometimes poop on the floor; a “putty knife” and a thin piece of sheet metal shaped like a dust pan and it’s easily picked up and later discarded in the garden. Any residue gets sprayed with windex and wiped with a paper towel. I have no problems with odors in the garage and she likes her crate clean so she is very tidy there. Her eggs are immaculate, no smears ever. She gets probiotics and vitamins in her water so her poop is pretty solid and easy to scoop.
I’m not sure I could put a stick in her crate for roosting but she loves going to bed at night and digging in the shredded pine mulch to nestle in for the night. Her cooing tells me she’s happy

She gets plenty of opportunity to roost during the day on all if the various shelves and nooks in the garage.
I was thinking about making her a swing to hang in the garage. I know people probably think it’s weird to keep her in the garage but it works for us; she’s close by, protected from predators and the weather and I can easily visit with her during the day as I’m going about my daily routine.