Muse led Nobles to Independent School League titles in 2004–05 and '05–06, and was named All-New England as a senior after compiling a 2.38 goals-against average and a .932 save percentage, with eight shutouts.

[2][3] Following his college career, Muse was signed to an amateur tryout contract by the AHL's Portland Pirates, winning his only start for them.

[6][7] Muse's first full professional season saw him spending time in both the ECHL and AHL, recording 15 games in Charlotte and 25 in Florida, where he shared netminding duties with Pat Nagle.

[10] Due to the NHL lockout, Muse was directly returned initially to the Checkers, before splitting the year for a second consecutive season with the Everblades.

On August 6, 2013, with limited NHL interest, Muse signed as a free agent to remain in the ECHL with the Fort Wayne Komets.

[11] After starting the season on the Komet's roster, Muse was signed to a PTO by the Checkers due to injuries to Cam Ward and Anton Khudobin.

Unable to replicate his form from previous years, Muse was traded by the Stars back to the Checkers for future considerations on February 29, 2016.

[18] After appearing in 8 games with the Phantoms, and proving an adequate option, Muse was signed to a one-year, two-way contract with NHL affiliate, the Philadelphia Flyers, for the remainder of the 2017–18 season on February 26, 2018.

After spells with Kunlun Red Star, KRS-BSU and Danish club Rødovre Mighty Bulls, Muse signed for UK EIHL side Sheffield Steelers in March 2021, ahead of the 2021 Elite Series.