Oh geez! That's awful, I'd be so mad! A couple things that might help...
Disclaimer: Crows will hate you a long time if you make yourself an obvious enemy. Bear that in mind no matter what you do and make sure you are ready to deal with their harassment. I'd try and ward them off via inconvenience or scares that didn't involve me personally. I might even wear a mask lol.
If your chicken door is big, I'd reduce it. Assuming it's already chicken sized, make it hard or scary for a wild bird to go into. Example: try a "chunnel" (wire covered chicken sized tunnel) connection to your door. Teach the hens to navigate -- they are good on the ground so shouldn't be too hard -- and the crow will be wary of what could be a trap. You can stand watch a while and even potentially catch them inside if they are brave enough to go through the tunnel into the closed coop area. Scare the pants off of them or find other legal means of dealing with them and they'll get the idea.
You could also buy dead crow effigies to try and scare them off. These are easy to get ahold of on Amazon I believe...
Owl dummy might also help. They also dislike noisy stuff like wind chimes or so I've been told.
Dummy eggs/nasty egg surprises. No egg eater wants a mouthful of soap or similar. Work involved in making the dummies but might be worth a shot.