At times Snylyk would play simultaneously for teams in the U.S. and Canada. While he could do this due to the off set seasons, at times he was forced to travel from one game to another by airplane. For example, while playing for Montreal Ukrainians, Snylyk also played with Chicago Levy in 1956, then from 1958 to 1961. At some point in there, he also played for Toronto Ukrainians and while teaching at McGill University of Montreal in 1959–1960, he would fly to New York to play games with the New York Ukrainians.