Hopefully you got it fixed, I had the exact same problem on my 75 fj40, my issue was corrosion at the fuse box. Since your hazards work it’s probably not a grounding issue, and the hazards also use the flasher relay. Since the last thing you did was pull the hazard switch, that would be a place to start looking. Ideally take it out and clean the connectors and possibly replace.
When your hazards are off with the engine on, there should be current at your fuse box at the blinker fuse. The hazard and turn signals on different fuses, my blinker fuse was three up from the bottom. be sure there is 12 volts in both sides of the fuse With the engine on and hazards Off.
as I understand it, the 12 volts passes through the hazards to the fuse box (but only when the hazards are OFF0 then to the turn signal lever, then to the flasher relay (it’s a silver 2X3‘’ box bolted on a support beam to the left of your clutch pedal) then to the lights. So check for voltage down the line. As other people have mentioned, any poor grounding issue in the light fixtures or bad bulbs will cause failure.
I attached a photo of my blinker relay.
good luck!
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