The Golden Knights made Conroy a co-captain in his senior year of 1993–94. He led the ECAC in scoring with 66 points and was named to the conference's First All-Star Team, the National Collegiate Athletic Association (NCAA) First All-Star Team and the NCAA Final Four All-Tournament Team. He was also a finalist for the Hobey Baker Award as top player in the NCAA, finishing second to Chris Marinucci. His Clarkson jersey (number 7) was retired in a ceremony prior to a game against College of Holy Cross on October 20, 2012, in which he and his family attended.