4 Stanford players, 2 Gaels, 1 Bear picked on Day 2 of MLB draft

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Bay Area colleges got on the board in a surprising fashion Tuesday, a day after being shut out during the first two rounds of the Major League Baseball draft.

Local colleges produced sevenplayers selected on the second day of the three-day draft and should add to that total during Rounds 11-40 on Wednesday.

Stanford had five second-day picks, but surprisingly, none of them was right-hander Tristan Beck. Widely considered a first-round lock after a stellar freshman season, the 6-foot-4, 190-pounder was sidelined by a stress fracture in his back this year.

Many scouts still considered Beck the region’s top collegiate prospect, even believing that he might have received an early-first-round promise that kept his pre-draft buzz quiet. Instead, either the injury scared off teams or clubs have gotten word that Beck plans to return to school for his junior season.

In either case, the first pick from Bay Area colleges ended up being Stanford junior outfielder Quinn Brodey, who was picked No. 97 overall (third round) by the Mets. The left-handed hitter led the Cardinal in batting average (.314), home runs (11) and RBIs (51) after an All-Star performance in the summer Cape Cod League.

“He didn’t produce quite as well as he did over the summer, though he did show off some offensive skills that made him intriguing in the first place,” according to the MLB Scouting Bureau. “He is capable of barreling up the baseball, with an improved approach at the plate that saw him increase his walk rate considerably as a junior. That should enable him tap into his power more consistently, important for him to profile at an outfield corner.”

Closer Colton Hock was the second Stanford player chosen — by Miami in the fourth round with the No. 119 overall pick — sandwiched between two St. Mary’s prospects. Hock, who is a finalist for the “Stopper of the Year” award, is a 6-4, 235-pounder who was viewed by some organizations as a potential starting pitcher.

“Today I got to live out my biggest dream, hearing my name called during the MLB draft,” Hock said.

Outfielder Quinn Brodey, taken by the Mets in the third round, led Stanford in homers, RBIs and batting average. Outfielder Quinn Brodey, taken by the Mets in the third round, led Stanford in homers, RBIs and batting average. Photo: Bob Drebin / Bob Drebin / ISI Photos Photo: Bob Drebin / Bob Drebin / ISI Photos Image 1 of / 5 Caption Close 4 Stanford players, 2 Gaels, 1 Bear picked on Day 2 of MLB draft 1 / 5 Back to Gallery

St. Mary’s right-hander Drew Strotman was chosen by Tampa Bay (109th pick, fourth round), and Gaels second baseman Zach Kirtley went to St. Louis (154th pick, fifth round).

Strotman was 6-1 with a 4.51 ERA and 75 strikeouts in 67 innings, drawing scouts to Moraga this season. The 6-3, 195-pounder hadn’t built much of a name on the summer circuits, but reports of a lanky unknown throwing in the high 90s got plenty of attention.

Stanford outfielder Matt Winaker (157th, fifth round) was, like Brodey, drafted by the Mets. Cardinal right-hander Brett Hanewich (265th, ninth round) was nabbed by Arizona to complete Stanford’s second-day selections.

Stanford had 29 players who were selected in the previous five seasons, including four first-round choices.

Cal third baseman Denis Karas rounded out the Bay Area colleges’ picks Tuesday, going 299th (10th round) to Miami. The 36th player chosen during head coach David Esquer’s tenure, Karas started every game in 2017 and tied for the Pac-12 lead in home runs with 12.

Rusty Simmons is a San Francisco Chronicle staff writer. Email: rsimmons@sfchronicle.com Twitter: @Rusty_SFChron