Selected in the 12th round of the 2015 draft, the speedy outfielder reached the majors in 2018, batting .333 with one homer in nine games. Called up in 2019, the Californian displayed a talent for shortstop as well, a big help while Carlos Correa was injured. He played in 56 games, batting .269 with a .721 OPS.

With the trade of Jake Marisnick before the 2020 season, Straw is expected to see more time in Houston as a reserve outfielder, pinch-runner and occasional infielder.