I will defer to you on the converter, as I don't have first hand knowledge of the 1960. As for the long tailshaft trans, it is a 904. Maybe a truck? There was never a cable shift 727 for the slant six.
Sure there were. Early slant 6 trucks had them for one. So did the early B-body slant 6 taxis. Even the A100's had them although they used the lever shifter instead of a push button.
