I ran through the same mess on a buddy's 52 Studebaker last weekend. After all the troubleshooting we found the the 4-way flasher was on, not off. Check this.
Replace the blinker can with a good one for testing. The switch contacts are pretty healthy so I would think you are ok there. Do you have the GM terminal block attached to the column setup? If so, you have two power feeds. "P" and "L", one from the flasher and one from the brake switch.
Last edited by beltfed; 05/31/2017 1:24 AM.