While some older manuals might specify Type A, it's highly recommended to use a modern ATF fluid specifically designed for older transmissions, such as a Dexron III or Mercon compatible fluid. These are readily available at most auto parts stores. Avoid using ATF+4 or other newer formulations designed for modern transmissions, as these can cause compatibility issues and damage your old TH350.
To be absolutely certain, check your owner's manual (if you have it) for the specific recommendation. If not, consulting a reputable mechanic specializing in classic cars is a wise decision. They can advise you on the best fluid to use considering the condition of your transmission.