Steven Proscia and Franco Valdes each added RBIs for the sixth-seeded Cavaliers (43-12-1). They went 3-0 in round-robin play to reach the title game for the second consecutive year, then won it for the first time since 1996.
Virginia loaded the bases with one out in the ninth off Sean Gilmartin when Hicks' single got past a diving Stephen Cardullo to bring home Phil Gosselin and Danny Hultzen and break a 3-3 tie.
Closer Kevin Arico struck out the side in the ninth for Virginia.
Jason Stidham homered and drove in three runs for the Seminoles (42-16), the tournament's No. 1 seed.