Turn signal goes out at "high" load

No other part is affected (blower, headlights, wipers all run as they always do). Hmm, will go flasher hunting in this case. :)

@68gtxman: I don't know if the voltage regulator has been upgraded by the previous owner(s). As I'm quite new to this, how would I indentify it? Oh and thanks for the welcome! ;)

Cheers!
There are 2 flasher modules. The one mounted on the steering column support ( easiest accessed ) is for emergency flashers. The one for turn signals is mounted on the right hand side of the ash tray hanger.
Early on the flasher module was metal bodied and held in a metal clamp. Later models got a plastic bodied flasher ( light blue plastic was OEM ), so if you removed the ash tray and look at the right inner side of that hanger you could see a small light blue square. That is a tab atop the flasher that pokes through a opening. The flasher was then rotated 90 degrees to create a metal on plastic bite there.
I honestly don't know what year model this changed.
I guess I would go ahead and try a new flasher first. If that doesn't cure it, system voltage is the culprit. Once that is fixed, everything about the cars electrical will work better. You might even get better fuel mileage.