Sounds to me like you have a short between the headlight switch and the left turn indicator (on the bottom, right?). I'm assuming when you turn your emergency flashers on, the high beam indicator lights up and stays on in which case it sounds like a short between the hazard switch and the high beams indicator light. The hazard flasher is somewhat near the headlight switch so I'd start my search in that area and toward the instrument binnacle.
Wouldn't bad grounds be the reason for something not working at all rather than improperly?