I have some of mine on 1'4" wire that is mostly covered with shelf liner. One of my males in this pen has injured his leg somehow, almost like he has twisted his ankle? Buttons on wire is not good, even 1/4" wire can cause their toes to get stuck. There is a picture online somewhere about a cage that has a pull-out solid bottom that the quail stay on. When you pull the tray out there is a guard that falls down to prevent them from escaping. Might be worth looking into.
In my other pen, the buttons have a solid floor covered in sawdust. I took some of my pellet bedding and wet it to make it break down, then allowed it to dry out. I have no problems with poo sticking to their toes.