To the OP, if you are really looking for a solution, it will likely be found here.....
https://www.backyardchickens.com/threads/rat-control-101.1283827/
As for secondary poisoning, to those on this thread who caution against using bait blocks, do you have actual proof that such a thing has happened to you or are you stating your fears based on heresay or personal beliefs?
Finding clear evidence of secondary poisoning is hard to do.
BUT, if that is a concern, there are even baits for you......starting with Terad3 from Bell Labs.
And no mention of rats and bait blocks should be made without the obligatory advice that if you do use bait blocks, they will ONLY be served up from within secure bait stations designed specifically for the use of bait blocks. If you just put them out in the open, rats will drag them out and around where there is a danger of primary poisoning to a lot of non-target animals.