Shenandoah, 35-11 and the fifth-seed in the tourney, takes on the sixth-seeded Bombers (29-16) for the first time in history in the second contest of the day Saturday.
The Hornets dropped into the elimination round after dropping a 13-5 decision to No. 4 Wooster (Ohio) Friday night.
Ithaca has made 46 all-time appearances in the NCAA Tournament, including every year from 1976-1995. George Valesente has led the Bombers since 1979 and guided IC to national championships in 1980 and 1988.
The Bombers hit .308 as a team with five players: Sam Little, Webb Little, Cam Fuoti, Jake Generali and Domenic Boresta, hitting at least .306 and having a minimum of 125 at-bats.
Sam Little leads this group with a .365 average to go along with 13 doubles, three home runs and 37 runs batted in.
Webb Little has a team-high five home runs.
Jack Morello and Tyler Hill have each made nine starts this season with Morello posting a 5-3 record, 3.41 ERA and a team-high 57 strikeouts in 63 1/3 innings pitched.
Hill is 3-5 with a 3.81 in 52.0 innings pitched. He has 45 strikeouts.
Coach Kevin Anderson has freshman Michael Prosperi (3-1, 1.80 ERA in 40.0 IP) and senior Michael Bugonowicz (5-2, 2.18 ERA and 66 K in 62.0 IP) available along Gerard DePhillips (6-1, 6.49 ERA in 34 2/3 IP) and Reeves Lowry (3-0, 4.70 ERA in 23.0 IP).
The winner of this game plays again on Saturday with the second game slated for 8 p.m.