Jack Walker and Tyler Stahl also scored in the shootout for Victoria (23-17-3), while goaltender Patrik Polivka stopped 31 shots.
Dylan Willick and Coly Ully replied for the Blazers (29-13-5) in regulation, and Taran Kozun made 26 saves.
Hodges opened the scoring at 12:40 in the first, before Willick tied the game just 52 seconds into the second.
Kamloops took its first lead at 14:12 when Ully beat Polivka for a 2-1 lead.
But Hodges evened the score back up at two 1:24 into the third with the Royals on a five-on-three man advantage to send the game to extra time.