recommended way to remove a snapped bleeder is to replace the cylinder/caliper.
there are ways, but for a 69 'bird, the cylinders or calipers are cheap enough, i would just replace them if you cant get some vicegrips to work on the snapped bleeder. other ways are more involved, and not worth it for a $20 caliper.
---------------------------------------------------------------- there may have been air in the system from the previously bad master, and replacing the master without bleeding did not remove it. a bypassing master often will not put air in the system, but can. a leaking master will nearly every time.
check for any leaks in the entire system, and inspect and adjust shoes. inspect brake operation, parts, lines, and hoses at all 4 wheels and under body.