Flutie, who won the Heisman Trophy in 1984 while playing quarterback at Boston College, is one of three winners of the award on this year's ballot. Notre Dame receiver Tim Brown (1987) and Miami (Fla.) quarterback Gino Torretta (1992) are also on the ballot.
Among coaches being considered are Cooper, who coached at Ohio State and Arizona State, and Darryl Rogers, who coached at Arizona State and Michigan State.
More than 12,000 National Football Foundation members are being mailed Hall of Fame ballots, with final selection up to the NFF's honors court. The 2007 Hall class is to be announced May 9 with formal induction set for Dec. 5.