Great plan. You've set up at least two more good episodes on "Adventures at the Chicken Palace" (somebody comes up with a better name)Thanks both for the ideas.
Here is what I am thinking.
I will go out now and close the door and keep it closed all day - they can come and go at will through the chicken door and get used to the people door being closed.
Then after roosting, assuming one or both of the Math Majors are up in the rafters, I will unlatch the door but keep it pushed closed.
That way it looks closed, but if one of them slams into it the door will just push open and they shouldn't be harmed.
With luck they will figure a better way down without slamming into the door.
If that doesn't work, plan B involves drapes!