Dwyer was unable to attain an NHL contract over the summer and on September 19, 2015, accepted a try-out offer to attend the Arizona Coyotes training camp.

With the 2015–16 season underway, Dwyer belatedly signed a contract abroad in Sweden for the remainder of the campaign with Modo Hockey of the SHL on October 22, 2015.

[3] Adding depth in a checking line role, Dwyer was unable to contribute offensively, producing just 7 assists in 33 games as Modo were relegated to the HockeyAllsvenskan.

As a free agent over the summer, Dwyer returned to North America and agreed to an invitation to attend the Columbus Blue Jackets training camp on a professional try-out on September 21, 2016.

[4] Upon his release from the Blue Jackets, Dwyer returned to the Hurricanes fold in preparation for the 2016–17 season, signing a one-year AHL contract with affiliate, the Charlotte Checkers on October 11, 2016.