Schultz, 24, tossed 66 of his 91 pitches for strikes and struck out a pair of hitters in the second and sixth innings and fanned the side in the fourth.
"That's probably the best I've ever felt in a professional game," Schultz told MiLB.com. "I was able to make an adjustment from pitch to pitch. If I yanked one, I'd be able to get back on it. [Catcher] Luke Maile called a great game. I just tried to execute, and every pitch felt good out of the hand."
With a mid- to upper-90s fastball, devastating breaking ball and an improving changeup, Schultz possesses what scouts like to call "no-hit stuff." But even though he has the career strikeout numbers to support that claim, Schultz has never quite made the impact that his stuff suggests he should due to his subpar control and command.
But Schultz has made strides in that department this season. After not issuing a walk on Monday, the 2013 14th-rounder has allowed just 27 free passes in 66 2/3 innings. He has piled up 75 strikeouts while holding opposing hitters to a .206 average.
Schultz is 5-2 with a 2.57 ERA in 12 starts for the Bulls.
The rest of the best performances from top prospects Monday
• No. 15 overall prospect Jose Berrios was dominant in his best outing of 2016 as he struck out a season-high 11 hitters over eight innings in Triple-A Rochester's 6-2 win over Buffalo. The Twins' No. 1 prospect allowed two earned runs on one walk and three hits, two of which were solo home runs by veteran Casey Kotchman. It was an encouraging performance from the 22-year-old right-hander, especially after he gave up seven runs on 10 hits across five innings in his previous start.
• No. 16 overall prospect Austin Meadows hit a double in the fourth inning of Double-A Altoona's loss to Erie to extend his hitting streak to 15 games. The Pirates' No. 2 prospect has collected seven extra-base hits in his last six games and 13 during his streak.
• In his first scoreless outing since April 24, No. 30 overall prospect Robert Stephenson (Reds' No. 2) tossed six innings of five-hit ball for Triple-A Louisville in a 3-1 loss to Syracuse. The 23-year-old right-hander walked two and struck out four, with 60 of his 89 pitches going for strikes.
• No. 42 overall prospect Tim Anderson went 2-for-5 with his fourth home run, a three-run shot in the eighth inning, and scored three runs as Triple-A Charlotte defeated Scranton/Wilkes-Barre, 8-1. The White Sox No. 2 prospect has 19 multiple-hit performances since May 1 and is hitting .300/.322/.405.
• No. 56 overall prospect Josh Hader's Eastern League-leading ERA rose to 0.95 from 0.88 on Monday as the Brewers' No. 4 prospect allowed one run and four hits over six innings in Double-A Biloxi's 4-2 win over Montgomery. Hader, 22, issued two walks and struck out eight in the outing -- his fourth eight-strikeout performance in 10 starts for the Shuckers -- giving him an overall strikeout-to-walk ratio of 73/19 in 57 innings this season.
• No. 87 overall prospect Bobby Bradley (Indians' No. 3) connected on a first-inning grand slam and later added a two-run double as he tallied a season-high six RBIs for Class A Lynchburg on Monday. The grand slam was his second of the season and gives him three home runs in his past six games.
• D-backs' No. 7 prospect Peter O'Brien launched a tape-measure solo home run in the first inning of Triple-A Reno's game against Salt Lake to retake the Minor League lead with 17. The 25-year-old has been on a tear of late, as he's hitting .460 (17-for-37) with five home runs and 20 RBIs over his last eight games for the Aces after going 3-for-5 at the plate on Monday.
• In Double-A Jackson's 6-1 loss to Pensacola, Mariners No. 6 prospect D.J. Peterson hit an RBI double in the fourth inning to extend his hitting streak to 17 games. The 24-year-old has raised his average from .213 to .250 during the streak.
• In Class A Delmarva's 9-5 win over West Virginia in 13 innings, Orioles Nos. 5 and 6 prospects D.J. Stewart and Ryan Mountcastle -- Baltimore's first-round Draft picks from 2015 -- combined to go 8-for-13 with three extra-base hits and five runs scored. Stewart hit a double, scored two runs and plated two more in a 4-for-7 performance, and he also stole three bases in the contest to bring his season total to 13. Mountcastle went 4-for-6 with a solo home run, his second of the year, and a double while also scoring three times.
• Phillies No. 30 prospect Ben Liveley fired six scoreless innings in his best start since being promoted Triple-A Lehigh Valley. Lively, 24, allowed two hits and three walks while striking out six as the IronPigs shut out Gwinnett, 3-0. The right-hander is 9-0 with a 2.00 ERA and a 0.92 WHIP in 72 innings (12 starts) this season between the Double- and Triple-A levels.
"I was just throwing my fastball for strikes and letting them get themselves out early in the game," Lively told MiLB.com. "My curveball and slider were working really good when I got ahead. Main thing for me was getting ahead with the fastball and setting everything up."
• White Sox No. 4 prospect Adam Engel paced Double-A Birmingham's offense in a win against Mobile, going 2-for-4 with a solo home run and three runs scored. The 2015 Arizona Fall League MVP has swung a hot bat since he rejoined Birmingham on May 25, notching six extra-base hits and 11 runs scored in 12 games. Left-hander Jordan Guerrero (No. 6) was equally impressive on the mound for the Barons as he allowed just two hits in seven innings to record the win. He walked four batters and struck out two in the start while throwing 52 of his 87 pitches for strikes.
• A day after Class A Advanced Winston-Salem right-hander Spencer Adams recorded his first career shutout, White Sox No. 20 prospect Brandon Brennan did the same as he kept Wilmington off the board for nine innings in a 6-0 win. The 24-year-old righty scattered nine hits and struck out seven on the night, needing only 103 pitches (71 strikes) to complete the shutout. Brennan, who owns a 7.22 ERA over 52 1/3 innings (11 starts) this season between Winston-Salem and Double-A Birmingham, has thrown back-to-back complete games for the Dash.