Wow, that's a unique problem. I guess you won't know til you try. I would guess they will leave it alone -- but what do I know? I've never read a post of a glass breaking and the chickens grabbing the bits before it could be cleaned up, though.
They don't really need an enclosed coop in Texas, and they don't need 4 sq ft inside, if you open up one end so they have room to get out of weather but also always have access to the outdoors. You could open up the east side onto a run. Here is a thread about hot weather coops to give you...