Stuck flashers for me have always been either dead bulb or dead flasher. Dead bulb = not enough resistance to kick on the flashers, and mechanical ones start 'on', thus the stick. Low wattage lamps would cause this too. If it only does this on the right, I would start with the lamps and work back. Check lamp wattage, dead or alive, no shorts, good grounds, connectors clean, etc.
FYI: Shop manual says turn signal light; front/rear: 32W/32W lamps.