Makes sense. Mink are aquatic so they are almost always around water bodies and small streams are the favorite habitat next to freshwater marshes. You might want to put another trap next to the brook. Probably have raccoons too.
Small cage trap baited with one of the chicken carcasses.
Or #1 foothold or 110 conibear. If you dont know how to use these, search for trapping best practices.
Mink, especially males, normally make large circles through there territory, sometimes it will take weeks for them to complete a...