Coons are only dangerous to chickens if you have failed to do your part to provide safe housing. I'm up to my neck in all manner of varmints and as a matter of course, I don't trap em, because I don't have to. If you are going to rely on trapping to save your birds, prepare for losses. Plus there is an endless supply of varmints always waiting their turn......so pack a lunch.......you are going to be at this for awhile.
Where trapping comes in is as a temporary solution to stop any carnage until you can get the security shored up.
And as for relocation........that ain't the solution.....for a lot of reasons, many of which are about to show up to help explain it. So in general, assumption should be if you trap it, you kill it.......and if you can't accept that......then don't trap it. Find another way......aka, Fort Knox housing.
But that isn't what you asked for help with.........if you insist on doing it your way.....dry cat food......if you want to turbocharge that, give it a whiff of bacon grease. Make a "bread crumb" like trail starting just outside the door.....a morsel here, a morsel there.....leading to a bigger pile scattered around at the back of the trap. Scatter it loose on the wire.....so each piece is beneath the wire.