Johnny... I'm not sure if a mink will go into a live trap or not, but it's worth a try... If you don't get him, borrow a couple of legholds or conibears from someone... If you know a trail or a hole he is using to access your hen house, it would be a natural for a conibear...

As far as bait goes, mink like FRESH food, not carrion.. Probably fresh fish would be best and easiest to get.. A few minnows would be better than a big piece of carp or whatever....Also, fresh meat such as squirrel, rabbit or muskrat would be good..You probably could pick up fresh roadkill....

Good luck....

BTW, we're practically neighbors...I'm over in Steuben County....