Why would you need to assist integration? Do you have an existing rooster.? If you throw a rooster in with a group of unattended hens it will be love at first sight.
It you introduce a rooster into a group of hens with their attendant rooster there will be an instant fight and probably...
Going into a confined space is scary. Just keep doing what you're doing and the trap will become part of the landscape.
The more spacious the trap the better they work.