Quote: That's pretty similar to mine as far as height. It should not be a problem. Are there nest boxes inside? It makes the hens feel safer when they are laying. It will also keep the eggs from falling down the ramp.
Here is the inside of my bantam coop. The little white rooster is in the center, some dark hens behind him. There is a storage compartment underneath.
The nest boxes hang on the outside. You can see the doorways. That hen has some chicks under her. They were too small to jump out of the nest box, so I made a little pen for them on the floor of the coop.
Here's the view from inside the nest box.