Koryagin rhymes with:
coggin, goggin, scoggin, scroggin, beghin, burgin, coggin, duggin, fagin, feigin, flanagin, goggin, googin, hangin', holguin, jungin, kagin, kosygin, mangin, melugin, mungin, muskegon, nagin, olguin, riggin, rogin, scoggin, scogin, scroggin, singin', wergin, wiggin, zalygin
Koryagin sounds like:
karajan, karson, kerkman, kerosene, kerrigan, kirchen, kirchman, kirgan, kirkham, kirkman, kirkum, kirschenmann, kirschman, korson, krajina, krasnow, krasny, kreisman, kressin, krewson, krishna, krishnan, krizan, krogman, krugman, kurkjian