What size/type of gravel? Pea-gravel, stone dust, crusher-run,rock?
Where I work, one of the working pen and corral areas was covered in geotextile cloth then covered with stone dust. They then covered with #57 (3/4 inch crushed bluestone) in the alleyways and the the outside of the chute. That set-up has worked well when having to work the cows. The areas where the people need to be stays un-mucked.
It was set up this way in an effort to control all the muck and mire in an area that tends to be damp.
I don't know that I would keep cows on that surface for days at a time though, but it makes for a decent working area.
Katherine