Callahan and Andrew Cossetti both hit solo homers in the opening frame, while Paul Kokol hit a three-run poke in the fourth. Callahan and Cossetti were in the middle of things for the Hawks again in the sixth as Saint Joseph's put up a five-spot to pull away. Callahan with an RBI double and Cossetti with an RBI single.
Max Hitman also helped the Hawks, finishing 3-for-3 on the afternoon.
Mike Falco recorded the win, surrendering one run on three hits over six innings.
Sunday's contest marked the third time this year that the Hawks recorded 16 or more hits; they notched 16 last Sunday at UMBC and had a season-high 20 against Quinnipiac on February 19.
Saint Joseph's (6-4) will travel to Radford to open a weekend set on Friday.