The 6-foot-4, 195-pound righty produced a 1.91 ERA over 17 appearances and four starts for the Aggies this season. Striking out 25 batters in 37 2/3 innings.
Ray's ERA decreased to 1.23 in his four starts.
Royals director of scouting Lonnie Goldberg described Ray as "a kid we feel like is just starting to hit his stride.
"Our scout had been on him a long time, I believe he had a plus fastball with a slider," Goldberg said. "Not a lot of track record with him in the industry, but we're excited about his upside."
The Draft concludes on Saturday, with exclusive coverage of Rounds 11-40 beginning on MLB.com at noon CT.
Jackson Alexander is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.