2006 Hyundai Tiburon Turn signal light

My right turn signal light is somehow stuck on. It flashes at a normal rate, not fast, but can't undo itself. If I turn the switch right or left, I can hear it click and go back to center once the turn is complete, but it continues to flash. I've taken what I think are all the logical steps to fix the problem to no avail.

First I checked all fuses and all are working and in order. Then I bought and installed a new turn signal switch thinking mine was somehow bad, still nothing. Then I changed the relay/flasher and again. Nothing.

All other lights and accessories (hazard, interior, headlights, brake lights, ac, fog lights) are working normally, but I had to remove the hazard fuse so I'm not driving around with my right signal flashing at all times. So basically I have no turn signal.

Any tips you can offer would be greatly appreciated! I am short on cash and the car is not under warranty. I'm a "do it yourselfer" willing to try anything! Thanks!