It can be hard to explain...and hard to apply to each specific situation.Sorry if I'm being stupid or misunderstanding - I appreciate any ideas or solutions for my situation. Thank you!
It's knee jerk reaction to say 'add HC', when it might not fit every scenario.
It sounds like you may have a significant population of rats which have already evaded the wire you did put down....so you'll likely need a multi pronged approach, poison being a part of it-which you'll already started using.
If you post some pics of your coop, run, and where the rat tunnels are,
more thoughtful suggestions of how to employ HC(often call 'rat wire') might be forthcoming.