[7] In February 2012, Schnur and fellow Canadian Hugo Di Feo won the doubles title at the G2 junior tournament in La Paz.

[9] In July 2013, Schnur reached his first professional singles final at the Futures in Kelowna but was defeated in three sets by compatriot Philip Bester.

[13] At the Richmond Futures in June, Schnur made it to his second professional doubles final but lost to Rik de Voest and his partner.

[14] Two weeks later at the Futures in Saskatoon, he captured the second pro doubles title of his career with a straight sets victory over Mousheg Hovhannisyan and Alexander Sarkissian.

[18] In August at the Futures in Calgary, Schnur captured the third doubles title of his career with Tar Heels teammate Jack Murray after defeating Dimitar Kutrovsky and Dennis Nevolo.

[19] In late October, Schnur captured the NCAA regional singles title, providing him with a bid into the 2014 National Indoor Championships in New York.

[24] Also in September 2016, he won the doubles title at the Niagara-on-the-Lake Futures with fellow Canadian Filip Peliwo and reached the final in singles.

Schnur made the men's singles draw of a Grand Slam for the first time at Wimbledon, when he replaced Borna Ćorić as a lucky loser after the Croatian player withdrew with an injury.