Which fuse is blowing. The flasher unit is fed from 2 sources.
The flasher gets direct power from fuse #3, so the ign switch will have no effect on it.
The flasher unit also gets switched power from fuse #7 as well.
Fuse #3 wire Red/White(stripe) feeds the flasher unit as well as the power feed for the clock in the inst cluster.
Fuse #7 wire Green/Brown(stripe) feeds many items. Cooling Fan, Horn, Horn relay circuit, Alarm system(if equipped).
You may want to check the wires on the back of the hazard flasher dash switch, not uncommon for leads on the back of those switches to break, could cause a intermittent short circuit issue.
Though what I see of the switching circuits, the dash switch as well as the left/right turn signal switches, all 3 take the trigger lead from the flasher module and ground it to activate the flashing circuit. So I would think that any skinned wire/grounding of the leads would simply just turn the signals on as if you pressed the switch.
If you are blowing fuse #7, I'd check the cooling fan.