Ku qor sii wadida cutubkan - Ka dib xilli ciyaareedkiisii labaad ee IceDogs, Strome wuxuu u qalmay National Hockey League (NHL) Entry Draft. Waxaa loo doortay wareega koowaad, kaalinta shanaad ee guud, ee 2011
waxaa goostay kooxda New York Islanders Waxaa sidoo kale loo doortay Kontinental Hockey League's Amur Khabarovsk ee 2011 draft. Ka dib markii la soo saaray, Strome wuxuu xilli ciyaareed kale la qaatay IceDogs ka hor inta uusan ku biirin kooxda xidhiidhka yar ee Islanders 'American Hockey League (AHL), Bridgeport Sound Tigers xilli ciyaareedkii 2012-13. Bartamihii xilli ciyaareedkii xigay, bishii Diseembar 11, 2013, waxaa loogu yeeray Jasiiradaha ka dib markii kooxdu Pierre-Marc Bouchard ka reebtay inay boos ka sameyso liiskooda. Ka hor inta aan loo yeerin, wuxuu hogaaminayay AHL dhibcaha 23-ka kulan ee ugu horeeya xilli ciyaareedka. Strome wuxuu dhaliyay goolkiisii ugu horreeyay ee NHL bishii Janaayo 6, 2014 oo ka dhan ah Kari Lehtonen oo ka tirsan kooxda Dallas Stars.