Shaw joined the Lincoln Saltdogs on July 31, 2025, after concluding his college career at the University of California-Berkley and playing in the MLB Draft League for the Frederick Keys.

2025:   Concluded college career at Cal-Berkley, going 1-4, 7.02 ERA.  In 20 appearances with six starts, Shaw threw 50.0 innings, striking out 51 and walked 32.  Played in four games for the Fredrick Keys in the MLB Draft League, going 1-0 with a 2.57 ERA, with two starts.  In 14.0 innings, he struck out 15 and walked 10.

2024:   In 18 appearances, went 1-1 with a 7.79 ERA for the Texas Longhorns.  In 17.1 innings, he struck out 23 and walked 14.

2023:  Compiled a 2-2 record for Texas, with a 3.09 ERA.  In 26 appearances, he recorded one save.  In 32.0 innings, Shaw struck out 30 and walked 14.

2022:   Went 2-2 in freshman season at Rice, with a 6.57 ERA.  Appeared in 22 games with four starts, pitching 37.0 innings, striking out 28 and walked 20.  Played for the Santa Barbara Foresters, in the California Collegiate League, going 1-1, with a 5.29 ERA.  In six games, he recorded four starts in 17.0 innings, striking out 18 and walked 13.