Klein seemingly showed no ill effects from an apparent head injury that had knocked him out in the third quarter of last Saturday's victory against Oklahoma State.
But outside of the long pass and two TD runs, including a nifty 34-yarder in the third quarter that gave him 19 for the season, it wasn't Klein's best game statistically.
The senior quarterback was sacked a season-high three times while completing 12 of 21 passes for 145 yards. He had 15 carries for 50 yards.
"He played reasonably well. He made the plays he had to make in the game, but we were probably a little conservative for him," said Snyder, adding that it was because of TCU's defense. "We could have given him more chances than what we did. He managed the game as he always does."
Klein wasn't made available for interviews after the game.
Patterson, TCU's winningest coach with 115 wins in 12 seasons, started his coaching career as a K-State graduate assistant in 1982, long before Snyder got there, and was part of the Wildcats' first bowl team. He played there the previous two seasons, as a safety and linebacker who saw a lot of action on scout teams and a little on special teams.
Kansas State was the highest-ranked team to play in Fort Worth since 1970, when No. 2 Texas beat the Horned Frogs 58-0.
TCU didn't score until against the Wildcats until Jaden Oberkrom's 35-yard field goal with 6:59 left. Oberkrom was wide right on a 45-yard attempt at the start of the second quarter.
Trevone Boykin threw a 19-yard TD to Brandon Carter with 47 seconds left in the game.
Kansas State led 13-0 after Cantele made a 20-yard field goal with 28 seconds left in the first half. That came after Deante Gray tried to field a punt that sailed over his head, and it was recovered at the Frogs 5.
The Wildcats had yet another scoring chance before halftime when Ty Zimmerman returned an interception 30 yards to the TCU 31. But Cantele was wide right on a 48-yard field goal attempt on the final play of the half.
The Frogs have scored in 252 consecutive games since Nov. 16, 1991, the third-longest such streak in the nation behind Michigan (347) and Florida (307). Kansas State's streak of 200 games in a row is the eighth-longest in the nation.